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A man inside a boat rows 9 km in on hour when rowing in still water. In a further part, the stream starts to flow. Now the person takes twice as much time to go upstream as he takes to go downstream. If the distance covered is same, can you find the speed of the stream?
- a)6 km/h
- b)3 km/hr
- c)9 km/h
- d)8 km/h
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A man inside a boat rows 9 km in on hour when rowing in still water. ...
The distance is equal, let it be = d. Then let the speed upstream =d/2t and speed downstream = d/t as per the question. Now we have that the speed of the boat
upstream: the speed of the boat downstream = 2 : 1
Let 'r' be the speed of the flow of the river and "b' be the speed of the boat in still
water. Then the upstream speed of the boat = b − r. Also, the downstream speed of
the boat = b + r. According to the given condition:
(b − r)/(b + r) = 2:1
Therefore, upon cross multiplication we have: 2b + 2r = b − r or b = −3r. since 'b' is
the speed of the boat in still water, which is =9km/hr. Therefore, we have 3r = −(9)
or r = −3km/hr
Neglecting the negative sign as this is the speed of the river, we have the speed of the
stream = C ) 3km/hr
Hence, the correct option is (b).
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A man inside a boat rows 9 km in on hour when rowing in still water. ...
Understanding the Problem
A man rows a boat at a speed of 9 km/h in still water. When the current is introduced, the time taken to row upstream is twice the time taken to row downstream, despite covering the same distance.
Given Information
- Speed in still water: 9 km/h
- Let the speed of the stream be 's' km/h.
- Time taken to row downstream = t hours
- Time taken to row upstream = 2t hours
Speed Calculations
- Downstream Speed: (Speed of boat + Speed of stream) = (9 + s) km/h
- Upstream Speed: (Speed of boat - Speed of stream) = (9 - s) km/h
Distance Relation
Since distance is the same in both cases, we can set up the equation:
- Distance Downstream = Distance Upstream
Using the formula: Distance = Speed × Time,
- (9 + s) × t = (9 - s) × (2t)
Solving the Equation
1. Cancel 't' from both sides (assuming t ≠ 0):
- 9 + s = 2(9 - s)
2. Expand and rearrange:
- 9 + s = 18 - 2s
- 3s = 9
- s = 3 km/h
Conclusion
The speed of the stream is 3 km/h, which corresponds to option 'B'. Thus, the calculations confirm that the stream's speed is indeed 3 km/h.
A man rows a boat at a speed of 9 km/h in still water. When the current is introduced, the time taken to row upstream is twice the time taken to row downstream, despite covering the same distance.
Given Information
- Speed in still water: 9 km/h
- Let the speed of the stream be 's' km/h.
- Time taken to row downstream = t hours
- Time taken to row upstream = 2t hours
Speed Calculations
- Downstream Speed: (Speed of boat + Speed of stream) = (9 + s) km/h
- Upstream Speed: (Speed of boat - Speed of stream) = (9 - s) km/h
Distance Relation
Since distance is the same in both cases, we can set up the equation:
- Distance Downstream = Distance Upstream
Using the formula: Distance = Speed × Time,
- (9 + s) × t = (9 - s) × (2t)
Solving the Equation
1. Cancel 't' from both sides (assuming t ≠ 0):
- 9 + s = 2(9 - s)
2. Expand and rearrange:
- 9 + s = 18 - 2s
- 3s = 9
- s = 3 km/h
Conclusion
The speed of the stream is 3 km/h, which corresponds to option 'B'. Thus, the calculations confirm that the stream's speed is indeed 3 km/h.
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A man inside a boat rows 9 km in on hour when rowing in still water. In a further part, the stream starts to flow. Now the person takes twice as much time to go upstream as he takes to go downstream. If the distance covered is same, can you find the speed of the stream?a)6 km/hb)3 km/hrc)9 km/hd)8 km/hCorrect answer is option 'B'. Can you explain this answer?
Question Description
A man inside a boat rows 9 km in on hour when rowing in still water. In a further part, the stream starts to flow. Now the person takes twice as much time to go upstream as he takes to go downstream. If the distance covered is same, can you find the speed of the stream?a)6 km/hb)3 km/hrc)9 km/hd)8 km/hCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A man inside a boat rows 9 km in on hour when rowing in still water. In a further part, the stream starts to flow. Now the person takes twice as much time to go upstream as he takes to go downstream. If the distance covered is same, can you find the speed of the stream?a)6 km/hb)3 km/hrc)9 km/hd)8 km/hCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man inside a boat rows 9 km in on hour when rowing in still water. In a further part, the stream starts to flow. Now the person takes twice as much time to go upstream as he takes to go downstream. If the distance covered is same, can you find the speed of the stream?a)6 km/hb)3 km/hrc)9 km/hd)8 km/hCorrect answer is option 'B'. Can you explain this answer?.
A man inside a boat rows 9 km in on hour when rowing in still water. In a further part, the stream starts to flow. Now the person takes twice as much time to go upstream as he takes to go downstream. If the distance covered is same, can you find the speed of the stream?a)6 km/hb)3 km/hrc)9 km/hd)8 km/hCorrect answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A man inside a boat rows 9 km in on hour when rowing in still water. In a further part, the stream starts to flow. Now the person takes twice as much time to go upstream as he takes to go downstream. If the distance covered is same, can you find the speed of the stream?a)6 km/hb)3 km/hrc)9 km/hd)8 km/hCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man inside a boat rows 9 km in on hour when rowing in still water. In a further part, the stream starts to flow. Now the person takes twice as much time to go upstream as he takes to go downstream. If the distance covered is same, can you find the speed of the stream?a)6 km/hb)3 km/hrc)9 km/hd)8 km/hCorrect answer is option 'B'. Can you explain this answer?.
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