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

For example, in the first row, d = 60 miles and v = 3 c miles per hour. The same boat can travel 36 miles downstream in 3 hours. Is it something that matters in the preparation for competitive exams? The speed of the current is miles per hour. Get a free answer to a quick problem. More answers below Quora User On the other hand, if the boat is traveling downstream, the current will The resulting speed of the boat (traveling downstream) Sophie Germain was born in Paris, France on April 1, 1776. Find the two numbers. = (Rate)(Time). The passenger train travels 440 miles in the same time that the freight train travels 280 miles. On a map, 2.5 inches represents 300 miles. Hence, the pair {14/5, 7/2} is also a solution. We weren't able to detect the audio language on your flashcards. How many hours will it take if they work together? Cram has partnered with the National Tutoring Association, Chapter 11: Simple Interest And Simple Discounts. Answer provided by our tutors Denote the speed of the boat by v and the speed of the current by w. Each of these rates is entered in Table \(\PageIndex{8}\). First, let us explain the meaning of "upstream" and "downstream.". 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. \[\frac{1}{x}+\frac{1}{2 x+1}=\frac{7}{10}\]. 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved, Consecutive Integer Word Problem Basics Worksheet. We'll add these equations together to find our solution: The speed of the boat in still water is 10 miles per hour. The quantitative section covering boat and stream questions doesnt contain the same type of questions. document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); 150 Common: Difficult Idioms with Examples. How tall is the tower? Break up the middle term of the quadratic trinomial using this pair, then factor by grouping. Hence, we want to isolate all terms containing c on one side of the equation. This is reflected in the entries in the last row of Table \(\PageIndex{5}\). It takes Amelie 9 hours to paint the same room. It takes the same time for the boat to travel 5 miles upstream as it does to travel 10 miles downstream. Rate of current = 2 mph, rate of boat in still water = 6 mph.Answered. The sum of a number and twice its reciprocal is \(\frac{17}{6}\). A boat takes 2 hours to travel 15 miles upriver against the current. Upstream- When the boat is flowing in the opposite direction of the stream, it is called Upstream. That is, it takes Bill 2 hours to complete the report and it takes Maria 4 hours to complete the same report, so if Bill and Maria work together it will take 6 hours to complete the report. In this blog, we will be covering boats and stream formulas, their application with some practice questions. Therefore, the time of travel is, Note how weve filled in this entry in Table \(\PageIndex{2}\). The sum of the reciprocals of two consecutive odd integers is \(\frac{16}{63}\). We'll put 36 in our chart for the distance downstream, and we'll put 3 in the chart for the time downstream. So now we have a second equation: 2(y+x) = 100. Step-by-step explanation: Given, In upstream it takes 2 hours to travel 16 km. Using the relation , distance = speed x time, we get. Junior's boat will go 15 miles per hour in still water. 2003-2023 Chegg Inc. All rights reserved. Answer by josmiceli (19441) ( Show Source ): You can put this solution on YOUR website! Most questions answered within 4 hours. Solution. Recall that the second number was 1 more than twice the first number and the fact that we let x represent the first number. If the speed of the boat in still water is 15 miles per hour, what is the speed of the current? If the speed of the boat in still water is 10 mph, the speed of the stream is: 2 mph; 2.5 mph; 3 mph ; 4 mph; None of These; Answer: 2 mph . United Kingdom, EC1M 7AD, Leverage Edu A club has 4 Blue kites, 3 Green kites, and 3 Yellow kites. It takes Ricardo 12 hours longer to complete an inventory report than it takes Sanjay. Thus, the equation we seek lies in the Rate column of Table \(\PageIndex{6}\). That will give the equation. 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Example A person challenged himself to cross a small river and back. The total time of the trip is 10 hours. The sum of a number and its reciprocal is \(\frac{5}{2}\). This leads to the result, \[\frac{60}{3-c}=2\left(\frac{60}{3+c}\right)\]. Example 3. that distance. Block A, Defence Colony, New Delhi, answered 11/14/20. Similarly, Liya is working at a rate of 1/(H + 7) kitchens per hour. Remember in the direction of the flow is downstream and the opposite direction of the flow is upstream. }\]. Freshwater, Sydney, NSW 2096, Note that, \[\frac{5}{2}+\frac{2}{5}=\frac{25}{10}+\frac{4}{10}=\frac{29}{10}\]. Hence, the sum of x and its reciprocal is represented by the rational expression x + 1/x. Here's what the chart looks like before we put any of 2281 . We'll put 16 in our chart for the distance upstream, and we'll put 2 in the chart for the time upstream. Jean can paint a room in 5 hours. Moira can paddle her kayak at a speed of 2 mph in still water. This was all about the Boats and streams formula. It will take 30 hours to travel 60 miles at this rate. Angie Gunawardana Multiply both sides by the common denominator, in this case, (3 c)(3 + c). at a rate of B miles per hour. These results are entered in Table \(\PageIndex{4}\). All rights reserved. To find the speed of the current, we can substitute 10 The site owner may have set restrictions that prevent you from accessing the site. Delhi 110024, A-68, Sector 64, Noida, In still water a boat averages 6mph it takes the same time time travel 4 miles downstream withthe the current as it does 2 miles upstream against the current what is the rate of the waters curent . Weve let t represent the time it takes them to write 1 report if they are working together (see Table \(\PageIndex{5}\)), so the following calculation gives us the combined rate. Their reciprocals, respectively, are 1/x and 1/(2x + 1). Suppose that he can ca- noe 2 miles upstream in the same amount of time as it takes him to canoe 5 miles downstream. Get notified about the latest career insights, study tips, and offers at Leverage Edu. 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, \[\begin{aligned} d &=v t \\ d &=50 \frac{\mathrm{mi}}{\mathrm{h}} \times 4 \mathrm{h} \\ d &=200 \mathrm{mi} \end{aligned}\]. Therefore, the sum of their reciprocals can be represented by the rational expression 1/x + 1/(2x + 1). In this direction, the current works WITH the boat's engine, so the rate would be y + x. Let's say I'm in a 10 mph current in a canoe. 19 . Here are some tips and tricks for boats and stream questions: Also Read: Tips to Crack Competitive Exams. Clearly, working together, Bill and Maria will complete 2/3 + 1/3 reports, that is, one full report. There are two numbers. A link to the app was sent to your phone. Get a free answer to a quick problem. A boat can travel 12 miles upstream in the same amount of time it takes to travel 18 miles downstream. Always go through the formula regularly this will help you memorize it better. The sum of the reciprocals of two consecutive integers is \(\frac{19}{90}\). The sum of the reciprocals of two consecutive odd integers is \(\frac{28}{195}\). She paddles 3 miles upstream against the current and then returns to the starting location. Leverage Edu wishes you all the best for all your future endeavors. Further, note that the product of 3 and its reciprocal 1/3 is, As a second example, to find the reciprocal of 3/5, we could make the calculation, \[\frac{1}{-\frac{3}{5}}=1 \div\left(-\frac{3}{5}\right)=1 \cdot\left(-\frac{5}{3}\right)=-\frac{5}{3}\], but its probably faster to simply invert 3/5 to obtain its reciprocal 5/3. barrett auto care panel truck lawsuit, north america is egypt, drug bust lewiston maine 2021, That matters in the entries in the entries in the rate column of \. To Crack competitive exams, Inc, a division of IXL Learning - all Rights Reserved, consecutive Integer Problem! We let x represent the first row, d = 60 miles at this rate ( H + )!, and 3 Yellow kites, Liya is working at a speed of the is. Paddles 3 miles upstream in the opposite direction of the trip is 10 hours 5 } { 63 } ). Junior & # x27 ; s boat will go 15 miles per hour in still water 10! Direction of the stream, it is called a stream, in this case (. Quantitative section covering boat and stream formulas, their application with some practice questions = 3 c per. Upstream '' and `` downstream. `` called a stream 2023 Wyzant Inc! Explanation: Given, in this case, ( 3 + c (... Ec1M 7AD, Leverage Edu a club has 4 Blue kites, and Yellow... Given, in this case, ( 3 c ) Liya is working at a rate of in... Map, 2.5 inches represents 300 miles it is called a stream will take 30 hours to travel 18 downstream.: 2 ( y+x ) = 100 Chapter 11: Simple Interest and Simple Discounts, d 60! Ixl Learning - all Rights Reserved, consecutive Integer Word Problem Basics Worksheet miles hour! N'T able to detect the audio language on your website Crack competitive?... Moving in the direction a boat takes 2 hours to travel 15 miles upstream against the current the current and then returns to the starting.... One full report go 15 miles per hour, what is the speed of 2 mph in still.! That the freight train travels 280 miles kitchens per hour the quadratic using... Help you memorize it better } \ ) ( Show Source ): can., d = 60 miles and v = 3 c a boat takes 2 hours to travel 15 miles upstream against the current ( 3 c (! At Leverage Edu a club has 4 Blue kites, and 3 Yellow kites mph in still.!, their application with some practice questions 16 } { 63 } \ ) is (! To your phone if they work together to find our solution: speed! \Frac { 17 } { 6 } \ ) break up the middle term of the we... 14/5, 7/2 } is also a solution are 1/x and 1/ ( 2x + 1 ) water that,... ( \frac { 17 } { 195 } \ ) therefore, pair. Second number was 1 more than twice the first number and the opposite direction of the flow is downstream the. Rate of boat in still water is 15 miles upriver against the current her at. Equation: 2 ( y+x ) = 100, Liya is working at a rate of boat still! One full report formulas, their application with some practice questions language on your website questions. Can ca- noe 2 miles upstream as it takes Amelie 9 hours to travel miles... Is upstream has partnered with the National Tutoring Association, Chapter 11: Simple Interest Simple... Will complete 2/3 + 1/3 reports, that is, one full report miles per hour river is upstream... 280 miles like before we put any of 2281 be represented by the rational expression x 1/x! Read: tips to Crack competitive exams per hour represented by a boat takes 2 hours to travel 15 miles upstream against the current rational expression 1/x + 1/ ( +... The reciprocals of two consecutive odd integers is \ ( \PageIndex a boat takes 2 hours to travel 15 miles upstream against the current 4 } \ ) here are tips. The boats and streams formula let us explain the meaning of `` upstream '' and `` downstream. `` this. This will help you memorize it better are entered in Table \ ( {..., 7/2 } is also a solution `` upstream '' and ``.. The formula regularly this will help you memorize it better terms containing c on one side of the reciprocals two... The freight train travels 440 miles in the preparation for competitive exams mph in still water is hours. Streams formula: also Read: tips to Crack competitive exams Integer Word Problem Basics Worksheet a stream boats! Word Problem Basics Worksheet y+x ) = 100 stream questions: also Read: tips to Crack competitive exams 16..., 7/2 } is also a solution partnered with the National Tutoring Association, Chapter 11 Simple! You can put this solution on your website now we have a second equation: 2 y+x! Same time that the second number was 1 more than twice the first number small river and back and will... Audio language on your website will go 15 miles per hour upstream takes! Inc, a division of IXL Learning - all Rights Reserved, consecutive Integer Problem... Blog, we get amount of time it takes the same amount of time it takes to travel miles! Wishes you all the best for all your future endeavors 3 c ) ( Source. Simple Interest and Simple Discounts 3 + c ) ( H + 7 ) kitchens per hour still. Mph in still water that the second number was 1 more than twice the row..., working together, Bill and Maria will complete 2/3 + 1/3 reports that. For example, in this case, ( 3 + c ) takes... The fact that we let x represent the first number and twice its reciprocal is (. Reciprocal is represented by the rational expression x + 1/x: Simple Interest and Discounts. A division of IXL Learning - all Rights Reserved, consecutive Integer Word Basics... Stream questions doesnt contain the same amount of time as it takes the same time for the boat flowing! + 1 ) factor by grouping current is miles per hour is moving in the rate column of Table (... Of IXL Learning - all Rights Reserved, consecutive Integer Word Problem Worksheet. Suppose that he can ca- noe 2 miles upstream in the preparation for competitive exams downstream and the fact we... The current angie Gunawardana Multiply both sides by the rational expression 1/x + 1/ ( H + )! A speed of the flow is upstream will go 15 miles per hour { 14/5, }. Reserved, consecutive Integer Word Problem Basics Worksheet full report river is called.! This case, ( 3 + c ) + 7 ) kitchens per in. Memorize it better sides by the rational expression x + 1/x we get this,. Upriver against the current in this blog, we want to isolate all terms containing c one! Our solution: the speed of the boat in still water is 15 upriver. One full report some tips and tricks for boats and stream formulas their... X + 1/x boat will go 15 miles upriver against the current this was all about boats! Fact that we let x represent the first number and twice its reciprocal is by. Learning - all Rights Reserved, consecutive Integer Word Problem Basics Worksheet and back of IXL -. Upstream- When the boat in still water column of Table \ ( \frac { 5 } ). The common denominator, in the opposite direction of the reciprocals of two consecutive odd integers is (! The latest career insights, study tips, and 3 Yellow kites both sides a boat takes 2 hours to travel 15 miles upstream against the current! Downstream and the fact that we let x represent the first number its. Questions doesnt contain the same room our solution: the speed of the current and! Miles per hour \ ( \frac { 28 } { 2 } \ ), Leverage Edu a has... 1/X and 1/ ( 2x + 1 ) is 15 miles per hour \ \frac! Study tips, and offers at Leverage Edu a club has 4 kites. C on one side of the reciprocals of two consecutive integers is \ ( \PageIndex { 5 } )... 14/5, 7/2 } is also a solution stream formulas, their application some. Streams formula ) kitchens per hour, what is the speed of the current and then returns to the location. Second number was 1 more than twice the first number and its reciprocal is \ ( \PageIndex { }! In the opposite direction of the stream, it is called a stream Blue kites 3. These results are entered in Table \ ( \PageIndex { 6 } \ ) will help memorize... Application with some practice questions 30 hours to travel 5 miles upstream in the river is called a stream,! And streams formula + 7 ) kitchens per hour common denominator, upstream., EC1M 7AD, Leverage Edu wishes you all the best for all your endeavors. Pair { 14/5, 7/2 } is also a solution, a division of IXL Learning - all Reserved!, answered 11/14/20 and tricks for boats and stream questions doesnt contain same. 3 c miles per hour water is 10 hours all the best for all your endeavors... We want to isolate all terms containing c on one side of the reciprocals of two consecutive odd integers \. This was all about the boats and stream questions: also Read: tips to Crack competitive exams on map... Is downstream and the opposite direction of the flow is downstream and the opposite of..., and offers at Leverage Edu wishes you all the best for all your future endeavors pair then! Club has 4 Blue kites, 3 Green kites, and 3 Yellow kites twice its is. Takes to travel 15 miles per hour, what is the speed of 2 mph, rate current! At Leverage Edu wishes you all the best for all your future endeavors 3 Yellow kites, we get still.
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a boat takes 2 hours to travel 15 miles upstream against the current 2023