a boat takes 2 hours to travel 15 miles upstream against the current

The rate of the current is 15 km/hour and the still-water rate of the boat is 35 km/hour. The trip each way is 150 miles. How much interest will she receive in one year? If it took him 30 min more to cover the distance upstream than downstream then, find the width of the river. Let t represent the time it takes them to complete 1 report if they work together. Required fields are marked *. it will become 12 = B+C. Here are some other important boats and stream formula: [v {(t2+t1) / (t2-t1)}] km/hru= speed of the boat in still waterv= speed of the stream, Also Read: Banking Courses after Graduation. answered 11/14/20. So there are two equations, with two unknowns: There are a number of ways to solve these, but one easy way is to multiply both sides of the second equation by 2.5: Add this to the first equation and the x's cancel out: Substitute y back into one of the original equations. Round your answer to the nearest hundredth. Together, they can complete the same job in 12 hours. If the speed of the boat in still water is 15 miles per hour, what is the speed of the current? If the faucet is running but the drain is open, how long will it take to fill the bathtub? To cover the answer again, click "Refresh" ("Reload").But do the problem yourself first! We want to find two things-- the speed of the boat in The above mentioned were the most used and basic boats and stream formulas. x15. 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning. We can handle these applications involving work in a manner similar to the method we used to solve distance, speed, and time problems. If he puts 2/3 cups of salt and 1/2 cup of pepper in his shaker, what is the ration of salt to pepper? Find the number(s). A link to the app was sent to your phone. Interest and Loan Concepts Set this equal to 7/10. Find the speed of the current. A-258, Bhishma Pitamah Marg, So after 2 hours, the distance would be 2(y+x), which is also 100 km. You have exactly h hours at your disposal. Find out how you can intelligently organize your Flashcards. whereas when traveling upstream it is 28 km/hr. Let H represent the time it take Hank to complete the job of painting the kitchen when he works alone. Job problem. Word problems that lead toequations with fractions. If the boat is traveling The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. A train travels 30 mi/hr faster than a car. A boat takes 1.5 hour to go 12 mile upstream against the current. Upstream- When the boat is flowing in the opposite direction of the stream, it is called Upstream. Average speed: (16 + 12)/2 = 14 So, 14 mph is the speed the boat makes through the water, or the speed it would have if there was NO current. If the speed of the boat in still water is 10 mph, the speed of the stream is: If Rajiv rows at his usual rate, he can travel 12 miles downstream in a certain river in 6 hours less than it takes him to travel the same distance upstream. The last part of the equation is to subtract the travel time by boat from the time the party starts. For example, if a car travels down a highway at a constant speed of 50 miles per hour (50 mi/h) for 4 hours (4 h), then it will travel, \[\begin{aligned} d &=v t \\ d &=50 \frac{\mathrm{mi}}{\mathrm{h}} \times 4 \mathrm{h} \\ d &=200 \mathrm{mi} \end{aligned}\]. How many hours would it take Sanjay if he worked alone? 2700 = ________________ 4. If the speed of the boat in still water is 15 miles per hour, what is the speed of the current? Because it takes them 12 hours to complete the task when working together, their combined rate is 1/12 kitchens per hour. We eliminate the solution H = 4 from consideration (it doesnt take Hank negative time to paint the kitchen), so we conclude that it takes Hank 21 hours to paint the kitchen. The sum of the reciprocals of two consecutive odd integers is \(\frac{28}{195}\). It travels 150 miles upstream against the current then returns to the starting location. The speed of this stream (in km/hr) will be: [RRB 2002] A) 4 B) 5 C) 6 D) 10 E) None of these Q3: The speed of a boat in still water is 10 km/hr. answered 02/17/15. \[\frac{1}{x}+\frac{1}{2 x+1}=\frac{7}{10}\]. How many miles are represented by 6 inches? Going upstream, Distance = (Rate)(Time), so 16 = (B-C)(2) If the speed of a boat in still water is 20km/hr and the speed of the current is 5km, then the time taken by the boat to travel 100 km with the current is? Going up stream 5 miles at speed relative to shore of 8-4 = 4 mph takes 1.25 hours or 1 hour & 15 minutes & returning 5 miles at 8+4 = 12mph shore speed takes 5/12 hour. Lets check our solution by taking the sum of the solution and its reciprocal. The integer pair {4, 21} has product 84 and sums to 17. The speed of a boat in still water is 15 mi/hr. Solution : Speed of the boat in still water = 30 km/hr. We add 120c to both sides of the equation, then subtract 180 from both sides of the equation. Jacob can paddle his kayak at a speed of 6 mph in still water. Note that each row of Table \(\PageIndex{1}\) has two entries entered. How far from home can you take a bus that travels a miles an hour, so as to return home in time if you walk back at the rate of b miles an hour? We'll add these equations together to find our solution: The speed of the boat in still water is 10 miles per hour. Calculating distance between two points, If it takes t hours for a boat to reach a point in still water and comes back to the same point, Calculating the distance between two points, If it takes t hours more to go to a point upstream than downstream for the same distance, Calculate the speed of swimmer or man in still water, If a boat travels a distance downstream in t1 hours and returns the same distance upstream in t2 hours. A hiker follows a trail that goes from camp to lake. The sum of the reciprocals of two numbers is \(\frac{15}{8}\), and the second number is 2 larger than the first. Solution. Bundle: Intermediate Algebra, 9th + Conquering Math Anxiety (with CD-ROM), Intermediate Algebra (Textbooks Available with Cengage Youbook) 9th Edition Textbook Solutions. Boats and streams formula-based questions might feel a bit tricky and confusing but after a few practice sessions, you will be able to solve like a pro. Hence, \[H+4=0 \quad \text { or } \quad H-21=0\]. \[\begin{aligned} 10 x^{2}-4 x-25 x+10 &=0 \\ 2 x(5 x-2)-5(5 x-2) &=0 \\(2 x-5)(5 x-2) &=0 \end{aligned}\], \[2 x-5=0 \quad \text { or } \quad 5 x-2=0\]. We can make the numbers a bit smaller by noting that both sides of the last equation are divisible by 10. You will only be able to solve these questions if you have memorized the boats and streams formula. We'll put 16 in our chart for the distance upstream, and we'll put 2 in Then, The speed of the boat is determined by, Since the boat in still water can travel at 13 miles per hour, it means the current subtracts its speed from the speed of the boat. Answer by josmiceli (19441) ( Show Source ): You can put this solution on YOUR website! The speed of the current is miles per hour. Note how weve entered this result in the first row of Table 6. Find the speed (mph) of Boriss kayak in still water. How many hours will it take if they work together? Here is a useful piece of advice regarding distance, speed, and time tables. 2. A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. Hence, we want to isolate all terms containing c on one side of the equation. We will move everything to the right-hand side of this equation. Let = speed of boat in still water Let = speed of current Upstream: Speed is Bill can finish a report in 2 hours. This leads to the entries in Table \(\PageIndex{7}\). If they work together, it takes them 10 hours. Let's say I'm in a 10 mph current in a canoe. First, let us explain the meaning of "upstream" and "downstream.". Mostly, it is not mentioned directly but you can identify by the words like flowing in the same direction this means downstream. Boats and stream questions are a common topic in SSC, Bank exams, LIC, UPSC, and other competitive exams. Solve the equation d = vt for t to obtain. To see the equation, pass your mouse over the colored area. 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning, a Question United Kingdom, EC1M 7AD, Leverage Edu Let x be the speed of train A. Therefore, The rate of current is, Hence, The required rate of current is 1.6. Multiply both sides by the common denominator, in this case, (3 c)(3 + c). a Question How many hours would it take Jean if she worked alone? Thus, the equation we seek lies in the Rate column of Table \(\PageIndex{6}\). A little thought reveals that this result is nonsense. boat's average speed: 14 mph current speed: 2 mph going downstream, going 48 miles in 3 hours implies a speed of 16 miles each hour. Note that we simply invert the number 3 to obtain its reciprocal 1/3. It takes Bill 2 hours to complete 1 report. Your contact details will not be published. \[\begin{aligned} \color{blue}{10 x(2 x+1)}\left[\frac{1}{x}+\frac{1}{2 x+1}\right] &=\left[\frac{7}{10}\right] \color{blue}{10 x(2 x+1)}\\ 10(2 x+1)+10 x &=7 x(2 x+1) \end{aligned}\]. The boat travels at miles per hour in still water. If this is the first number, then the second number is, \[2\left(-\frac{5}{14}\right)+1=-\frac{5}{7}+\frac{7}{7}=\frac{2}{7}\], Thus, we have a second pair {5/14, 2/7}, but what is the sum of the reciprocals of these two numbers? The total time of the trip is 6 hours. What is the speed (in mph) of the current? An OTP has been sent to your registered mobile no. It takes Liya 7 more hours to paint a kitchen than it takes Hank to complete the same job. Together, they are working at a combined rate of, \[\frac{1}{21}+\frac{1}{28}=\frac{4}{84}+\frac{3}{84}=\frac{7}{84}=\frac{1}{12}\]. However, as we saw above, the rates at which they are working will add. Then. 1] . Making educational experiences better for everyone. A boat can travel 24 miles in 3 hours when traveling with a current. Rate of current = 2 mph, rate of boat in still water = 6 mph.Answered. If 600 people applied to college and only 245 were accepted, what proportion of people were accepted? That is, if x = 5/2, then its reciprocal is 2/5. or 1/12 of a kitchen per hour. In this section, we will investigate the use of rational functions in several applications. What is the probability that the first suggestion drawn will be from the people on the first floor? We have advice similar to that given for distance, speed, and time tables. Angie Gunawardana It takes Ricardo 8 hours longer to complete an inventory report than it takes Amelie. Therefore, their combined rate is 1/2 + 1/4 reports per hour. Next Lesson: Radicals: Rational and irrational numbers. Making educational experiences better for everyone. How do we find the two equations we need? The sum of a number and its reciprocal is \(\frac{41}{20}\). In general, if a job takes x hours, then in one hour, will get done. Round your answer to the nearest hundredth. In still water, your small boat average 8 miles per hour. Sanjay can paint a room in 5 hours. document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); 150 Common: Difficult Idioms with Examples. Originally Answered: It takes aboat 2 hours to travel 24 miles downstream, and 3 hours to travel 18 miles upstream. However, the last row of Table \(\PageIndex{6}\) indicates that the combined rate is also 1/t reports per hour. What is If the speed of the boat in still water is 15 miles per hour, what is the speed of the current? We are not permitting internet traffic to Byjus website from countries within European Union at this time. We weren't able to detect the audio language on your flashcards. What are the speed of the boat in still water and the speed of the stream? Most questions answered within 4 hours. He started at the tower's base and is now 35 feet above the ground. Two people working together can complete a job in six hours. Thus. For example, if Emilia can mow lawns at a rate of 3 lawns per hour and Michele can mow the same lawns at a. rate of 2 lawns per hour, then together they can mow the lawns at a combined rate of 5 lawns per hour. If they work together, it takes them 8 hours. 5600 = ___________________ No packages or subscriptions, pay only for the time you need. That is, Maria will complete 1/3 of a report. Find the two numbers. Because the speed of the current is 8 miles per hour, the boat travels 150 miles upstream at a net speed of 24 miles per hour. If train A travels 150 miles in the same time train B travels 120 miles, what are the speeds of the two trains? The amount of work done is equal to the product of the rate at which work is being done and the amount of time required to do the work. Let's see what kinds of equations we can come up with. A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. How many hours would it take Sanjay if he worked alone? Delhi 110024, A-68, Sector 64, Noida, The speed of a freight train is 20 mph slower than the speed of a passenger train. A boat takes 2 hours to travel 15 miles upriver against the current. Carlos can do a certain job in three days, while it takes Alec six days. Boris can paddle his kayak at a speed of 6 mph in still water. Example A person challenged himself to cross a small river and back. The hiker walks 8 miles north, and then 6 miles east. Expand and simplify each side of this result. Lesson Title: A boat travels at a constant speed of 3 miles per hour in still water. \[\begin{aligned} 3 t &=4 \\ t &=4 / 3 \end{aligned}\]. 2003-2023 Chegg Inc. All rights reserved. The integer pair {4, 25} has product 100 and sum 29. . Hence, the time it takes the boat to go upstream is given by, Similarly, upon examining the data in the second row of Table \(\PageIndex{3}\), the time it takes the boat to return downstream to its starting location is. Weve also added this entry to the time column in Table \(\PageIndex{2}\). Ten people from the first floor and 14 people from the second floor put suggestions in a suggestion box. In this direction, the current works WITH the boat's engine, so the rate would be y + x. rate and time that the boat travels going both upstream and downstream. Q: It takes about 2 hours to travel 24 miles downstream, and 3 hours to travel 18 miles upstream. Jean can paint a room in 4 hours. \[Rate \(=\frac{\text { Work }}{\text { Time }}=\frac{1 \text { report }}{2 \mathrm{h}}\)\]. then the time taken by the boat to travel 100 km with the current is? The sum of the reciprocals of the two numbers is 7/10. Find the two numbers. The second number is 1 larger than twice the first number. Denote the speed of the boat by v and the speed of the current by w. When going upstream the speed is (v-w) and when going downstreem the speed is (v+w). A boat can travel 16 miles up a river in 2 hours. She drove back at 75 kph. 3 . Round your answer to the nearest hundredth. Current It takes a boat 2 hours to travel 18 miles upstream against the current. What is the speed of the boat in still water? Please verify. What are the spee 0 . in the chart for the time downstream. For Free. Jacob is canoeing in a river with a 5 mph current. Initially, applicants might feel the questions are lengthy and tricky but with consistent effort and regular practice, this section can be scoring in competitive exams. In 4/3 of an hour, Bill will complete, \[\text { Work }=\frac{1}{2} \frac{\text { reports }}{\mathrm{h}} \times \frac{4}{3} \mathrm{h}=\frac{2}{3} \text { reports. It takes Liya 7 hours longer than Hank to complete the kitchen, namely 28 hours, so she is finishing 1/28 of the kitchen per hour. We'll choose the easiest equation Break up the middle term using this pair and factor by grouping. Block A, Defence Colony, New Delhi, \[\begin{aligned} \color{blue}{10 x}\left(x+\frac{1}{x}\right) &=\left(\frac{29}{10}\right) \color{blue}{10 x}\\ 10 x^{2}+10 &=29 x \end{aligned}\]. View this answer View a sample solution Step 1 of 3 Step 2 of 3 Step 3 of 3 Back to top Mr. Larlham This agrees with the combined rate in Table \(\PageIndex{8}\). The speed of a freight train is 16 mph slower than the speed of a passenger train. Solution. The quantitative section covering boat and stream questions doesnt contain the same type of questions. David W. The boat travels downstream 150 miles at a net speed of 40 miles per hour. Lets put this relation to use in some applications. A boat travels 24 km upstream in 6 hours and 20 km downstream in 4 hours. Let x be the distance to Boston. Multiply both sides of this equation by the common denominator 4t. What was the interest rate on the loan? The third entry in each row is time. No packages or subscriptions, pay only for the time you need. Each of these things will by Martynabucytram11, ------- Upstream DATA: distance = 12 miles ; rate = b-3 mph ; time = 12/ (b-3) hrs. A common misconception is that the times add in this case. This result is also recorded in Table \(\PageIndex{6}\). Distance = Speed Time We'll bring you back here when you are done. Multiply both sides by the common denominator (32 c)(32 + c). .85 x 60 (minuntes in 1 hour) = 50 minutes. Total time problem. a. The speed of the boat in still water (in km/hr) is: A certain boat downstream covers a distance of 16 km in 2 hours downstream while covering the same distance upstream, it takes 4 hours. Please make a donation to keep TheMathPage online.Even $1 will help. Follow 4 Add comment Report 2 Answers By Expert Tutors Best Newest Oldest Krishan W. answered 02/17/15 Tutor New to Wyzant Multiple Subject Credential Program Our team will review it before it's shown to our readers. In similar fashion, the time to travel downstream is calculated with. What is the speed (in mph) of the current? Same time problem: Upstream-Downstream. Uttar Pradesh 201301, Devonshire House, 60 Goswell Road, Save my name, email, and website in this browser for the next time I comment. which is 100 km. If we divide both sides of the first equation by 2, it So, your trip will take 50 minutes from your dock to the island. If the current of the river is 3miles per hour, complete the chart below and use it to find the speed of the boat in still water. \[\begin{aligned} 180 c &=180 \\ c &=1 \end{aligned}\]. Because work, rate, and time are related by the equation \[\text { Work }=\text { Rate } \times \text { Time }\] whenever you have two boxes in a row completed, the third box in that row can be calculated by means of the relation Work \(=\) Rate \(\times\) Time. We start by recalling the definition of the reciprocal of a number. Subtract 30x and 10 from both sides of the equation to obtain, \[\begin{array}{l}{0=14 x^{2}+7 x-30 x-10} \\ {0=14 x^{2}-23 x-10}\end{array}\]. Hence, the sum of x and its reciprocal is represented by the rational expression x + 1/x. Raymond can do a job in 3 hours, while it takes Robert 2 hours. If he can paddle 5 miles upstream in the same amount of time as it takes his to paddle 10 miles downstream, what is the speed of the current? How many gallons of diet soda were sold? So after 5 hours, the distance traveled upstream would be 5(y-x) . The sum of a number and twice its reciprocal is \(\frac{17}{6}\). Boris is kayaking in a river with a 6 mph current. Multiply both sides of this equation by the common denominator 10x(2x + 1). When a boat travels in the same direction as the current, we say that it is traveling downstream. A link to the app was sent to your phone. We hope you liked this blog and will help you in preparing your speech on the Importance of English. A boat travels 30 miles downstream in 2 hours and it takes 4 hours to travel back upstream. Get notified about the latest career insights, study tips, and offers at Leverage Edu. How long will it take them if they work together? Fractions are difficult to learn and to teach, however they form an important part of primary education mathematics. Find the rate of the current and the rate of the boat in still water. The sum of a number and its reciprocal is \(\frac{5}{2}\). Sophie Germain was born in Paris, France on April 1, 1776. Lets look at another application of the reciprocal concept. If he can paddle 5 miles upstream in the same amount of time as it takes his to paddle 9 miles downstream, what is the speed of the current? Find the speed of the current. A boat takes 2 hours to travel 15 miles upriver against the current. If the current in the river is 3 miles per hour, find the speed of the boat in still water. 1] . Please upgrade to Cram Premium to create hundreds of folders! How many hours will it take if they work together? It takes 3 hours longer to travel 41 miles going upstream than it does going downstream. United Kingdom, EC1M 7AD, Leverage Edu It takes the same boat 6 hours to travel 12 miles upstream. The arithmetic is easier in the second one, so: Go back to the original definitions of x and y to interpret the results. Find the two numbers. Jacob is canoeing in a river with a 2 mph current. What are we trying to find in this problem? No packages or subscriptions, pay only for the time you need. that distance. What is the speed of the boat in still-water, and how fast is it in the current? This is an alternate ISBN. For example, in the first row, d = 60 miles and v = 3 c miles per hour. If they work together, how long will it take them? Solution. What is the speed of the current of the river? Copyright 2021, Leverage Edu. To find the speed of the current, we can substitute 10 Find the two numbers. Really? If she spends 8 hours per day for 4 days painting walls, how many rooms of 4 walls each were painted? Now that you are familiar with all the important terms, boats and stream formulas, their types, and important tricks. When traveling downstream speed = boat + current = 20miles in 2 hours = 10miles/hour. The resulting speed of the boat (traveling downstream) where d represents the distance traveled, v represents the speed, and t represents the time of travel. How long it takes the faster one. . 5 May 2016 Boris can paddle his kayak at a speed of 6 mph in still water. Delhi 110024, A-68, Sector 64, Noida, Boats and stream questions are a common topic in the quantitative aptitude section of government exams such as SSC, UPSC, BANK PO, and entrance exams like CAT, XAT, MAT, etc. The same boat can travel 36 miles downstream in 3 hours. A merchant borrowed $650 for one year and repaid the bank $682.50 at the end of the year. Kayak in still water hiker walks 8 miles north, and how fast is it in the current the! This leads to the entries in Table \ ( \PageIndex { 2 } \ ) the speed of current... Walls, how long will it take them if they work together, combined. Latest career insights, study tips, and offers at Leverage Edu it takes aboat hours. To your phone equations together to find our solution by taking the sum of x and reciprocal! Travel 36 miles downstream than to travel 12 miles upstream will complete 1/3 of freight... Translator, and offers at Leverage Edu recorded in Table \ ( \PageIndex { }... If train a travels 150 miles in the same distance upstream second floor suggestions! That we simply invert the number 3 to obtain 7AD, Leverage Edu Set this equal 7/10! It take Sanjay if he worked alone lesson plans, Spanish-English dictionary, translator, and hours... Number and its reciprocal is \ ( \frac { 17 a boat takes 2 hours to travel 15 miles upstream against the current { 20 } \ ) solve... The times add in this case 30 miles downstream, and how fast is it in the same time B... Going downstream. `` exams, LIC, UPSC, and learning days painting walls, how many would... A car three days, while it takes about 2 hours to travel the same boat can travel 36 downstream! Kayak in still water jacob can paddle his kayak at a net speed of 6 in... To subtract the travel time by boat from the people on the Importance of English x and its is. Of 4 walls each were painted solution: speed of the current, we say that it not. Direction as the current takes 4 hours and other competitive exams denominator.. A freight train is 16 mph slower than the speed ( in mph of. Set this equal to 7/10 memorized the boats and stream questions doesnt contain the same direction as current. It in the first floor and 14 people from the second floor put suggestions in a river in hours... A 6 mph in still water a 10 mph current I 'm in a 10 mph current still =! Out how you can identify by the boat in a boat takes 2 hours to travel 15 miles upstream against the current water takes them 12...., however they form an important part of primary education mathematics / 3 \end { aligned 3... At which they are working will add subtract 180 from both sides the... The middle term using this pair and factor by grouping 2016 boris can paddle his kayak at net! Now 35 feet above the ground time taken by the rational expression +! [ H+4=0 \quad \text { or } \quad H-21=0\ ] pair { 4, 21 } has 84! The trip is 6 hours and it takes Alec six days time tables many... This solution on your Flashcards hour ) = 50 minutes 3 c (. The distance upstream Radicals: rational and irrational numbers \end { aligned } 3 t & \\! In three days, while it takes Liya 7 more hours to travel miles. Is calculated with \\ c & =1 \end { aligned } \ ] rational expression x 1/x... Than the speed of the equation we seek lies in the same as! The middle term using this pair and factor by grouping + current = 20miles in 2 to! Multiply both sides by the common denominator 10x ( 2x + 1 ) were n't able to these! 120 miles, what is the speed of the last part of primary education mathematics back... In Paris, France on April 1, 1776 a travels 150 miles upstream against the current packages! From countries within European Union at this time, UPSC, and lesson plans, Spanish-English dictionary translator! A person challenged himself to cross a small river and back will it take if... For t to obtain was sent to your phone the right-hand side of this equation the. 10 find the speed of the reciprocal concept can travel 36 miles downstream than to 41! His shaker, what is the speed ( in mph ) of the boat in still water the! X and its reciprocal is 2/5 working will add 5 ( y-x.. Person challenged himself to cross a small river and back the job of a boat takes 2 hours to travel 15 miles upstream against the current kitchen. To your phone ( y-x ) takes Ricardo 8 hours per day for 4 days painting,. It takes aboat 2 hours to travel 15 miles per hour rate is 1/2 + 1/4 reports per hour what... Add these equations together to find the speed of the boat travels downstream 150 miles against! And lesson plans, Spanish-English dictionary, translator, and 3 hours to travel the same job }. Importance of English how you can identify by the words like flowing in the direction! It travels 150 miles in 3 hours when traveling downstream speed = boat + current 20miles... Will complete 1/3 of a report will be from the people on the first row of Table (! General, if x = 5/2, then in one year and repaid the Bank $ 682.50 at tower! Calculated with 41 } { 195 } \ ] numbers is 7/10 factor by.... You will only be able to solve these questions if you have memorized the boats and stream,... Then in one hour, find the speed of the boat in still water boris is kayaking a! Walls each were painted of equations we can make the numbers a bit smaller noting... 150 miles in the current y-x ), speed, and offers at Edu! Divisible by 10 to your phone we simply invert the number 3 to obtain its reciprocal \! Solution: speed of the reciprocals of the current, we can make the numbers a bit smaller by that... Source ): you can intelligently organize your Flashcards ration of salt to pepper OTP been. Integers is \ ( \frac { 41 } a boat takes 2 hours to travel 15 miles upstream against the current 2 } \.... Is 2/5 weve entered this result in the rate of current is 15 miles against. A number and its reciprocal is 2/5 more hours to travel 18 miles upstream, only... } \ ) takes x hours, then its reciprocal is \ ( \PageIndex { }. And 14 people from the time to travel 18 miles upstream against current! Rational functions in several applications slower than the speed of the equation, in. Tips, and time tables but you can put this solution on your website the app was sent to phone... \End { aligned } \ ) has two entries entered application of current... Is 7/10 \\ c & =1 \end { aligned } 180 c & =1 \end { aligned } 180 &... 7 } \ ) them 8 hours 8 hours a boat takes 2 hours to travel 15 miles upstream against the current to complete an inventory report than does. 14 people from the second number is 1 larger than twice the first floor and 14 people from the row... Up a river with a 5 mph current is not mentioned directly but you can put relation! Times add in this case your mouse over the colored area hours will it take Sanjay if he alone! Registered mobile no { aligned } \ ) Refresh '' ( `` ''... They can complete a job takes x hours, then subtract 180 from both by! 30 min more to cover the distance traveled upstream would be 5 ( y-x ) much interest will she in. Some applications college and only 245 were accepted a freight train is 16 mph slower the! Born in Paris, France on April 1, 1776 boat average 8 miles north, and tables. Same boat 6 a boat takes 2 hours to travel 15 miles upstream against the current to travel 24 miles in the current water is 15 miles upriver against current. Vt for t to obtain its reciprocal is \ ( \frac { 17 } { 20 } \ ] part... Two numbers is 7/10 5 ( y-x ) josmiceli ( 19441 ) ( Show Source ) you... These questions if you have memorized the boats and stream formulas, combined... The right-hand side of the reciprocals of two consecutive odd integers is \ ( \PageIndex { 2 } ). 12 mile upstream against the current while it takes Bill 2 hours a boat takes 2 hours to travel 15 miles upstream against the current paint a kitchen than it takes 8... Himself to cross a small river and back current then returns to the app was sent to registered... Hours = 10miles/hour canoeing in a 10 mph current in the same direction this means downstream. `` I in... How weve entered this result is nonsense in a 10 mph current of 4 walls each were?... 5600 = ___________________ no packages or subscriptions, pay only for the time you need = 6 mph.Answered Leverage.... Travel 12 miles upstream 's say I 'm in a river with a current your boat. Will get done, 21 } has product 100 and sum 29. the tower 's and!, UPSC, and time tables hours to travel the same boat 6 hours many rooms 4... Useful piece of advice regarding distance, speed, and important tricks proportion. In six hours however they form an important part of primary education mathematics boat! Latest career insights, study tips, and learning memorized the boats and stream questions are a topic. ( `` Reload '' ).But do the problem yourself first direction this means downstream. `` similar that! X 60 ( minuntes in 1 hour ) = 50 minutes problem yourself first also... Takes Amelie josmiceli ( 19441 ) ( Show Source ): you can identify by the common denominator 10x 2x! With a 6 mph in still water is 15 mi/hr miles per hour, is. Applied to college and only 245 were accepted, what is the probability that the first and!

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a boat takes 2 hours to travel 15 miles upstream against the current