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A man rows a certain distance downstream in 5 hours and back to the same point in 8 hours If the speed of the stream is 9 km/hr then what is the speed of the man in still water?
- a)31 km/hr
- b)43 km/hr
- c)39 km/hr
- d)41 km/hr
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A man rows a certain distance downstream in 5 hours and back to the sa...
GIVEN:
Time taken in Downstream = 5 hours
Time taken in upstream = 8 hours
Speed of the stream = 9 km/hr
Time taken in Downstream = 5 hours
Time taken in upstream = 8 hours
Speed of the stream = 9 km/hr
FORMULA USED:
Downstream speed = Speed of man + Speed of stream
Upstream speed = Speed of man - Speed of stream
Speed = Distance/time
Downstream speed = Speed of man + Speed of stream
Upstream speed = Speed of man - Speed of stream
Speed = Distance/time
CALCULATION:
Let the speed of the man in still water be x km/hr.
Downstream speed = (x + 9) km/hr.
Upstream speed = (x - 9) km/hr.
(x + 9) × 5 = (x - 9) × 8
5 x + 45 = 8 x - 72
3 x = 117
∴ x = 39 km/hr.
Let the speed of the man in still water be x km/hr.
Downstream speed = (x + 9) km/hr.
Upstream speed = (x - 9) km/hr.
(x + 9) × 5 = (x - 9) × 8
5 x + 45 = 8 x - 72
3 x = 117
∴ x = 39 km/hr.
Most Upvoted Answer
A man rows a certain distance downstream in 5 hours and back to the sa...
Understanding the Problem:
Given that a man rows a certain distance downstream in 5 hours and back to the same point in 8 hours with a speed of the stream being 9 km/hr, we need to find the speed of the man in still water.
Approach to Solve:
To solve this problem, we can use the concept of relative speed. Let the speed of the man in still water be x km/hr.
Downstream Speed:
- Speed of man + Speed of stream = x + 9 km/hr
- Time taken downstream = Distance / Speed = 5 hours
Upstream Speed:
- Speed of man - Speed of stream = x - 9 km/hr
- Time taken upstream = Distance / Speed = 8 hours
Equations:
- Distance = Speed * Time
- Let D be the distance covered
Calculations:
- Downstream: D = (x + 9) * 5
- Upstream: D = (x - 9) * 8
Solving Equations:
- (x + 9) * 5 = (x - 9) * 8
- 5x + 45 = 8x - 72
- 3x = 117
- x = 39 km/hr
Therefore, the speed of the man in still water is 39 km/hr, which corresponds to option C.
Given that a man rows a certain distance downstream in 5 hours and back to the same point in 8 hours with a speed of the stream being 9 km/hr, we need to find the speed of the man in still water.
Approach to Solve:
To solve this problem, we can use the concept of relative speed. Let the speed of the man in still water be x km/hr.
Downstream Speed:
- Speed of man + Speed of stream = x + 9 km/hr
- Time taken downstream = Distance / Speed = 5 hours
Upstream Speed:
- Speed of man - Speed of stream = x - 9 km/hr
- Time taken upstream = Distance / Speed = 8 hours
Equations:
- Distance = Speed * Time
- Let D be the distance covered
Calculations:
- Downstream: D = (x + 9) * 5
- Upstream: D = (x - 9) * 8
Solving Equations:
- (x + 9) * 5 = (x - 9) * 8
- 5x + 45 = 8x - 72
- 3x = 117
- x = 39 km/hr
Therefore, the speed of the man in still water is 39 km/hr, which corresponds to option C.
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A man rows a certain distance downstream in 5 hours and back to the same point in 8 hours If the speed of the stream is 9 km/hr then what is the speed of the man in still water?a)31 km/hrb)43 km/hrc)39 km/hrd)41 km/hrCorrect answer is option 'C'. Can you explain this answer?
Question Description
A man rows a certain distance downstream in 5 hours and back to the same point in 8 hours If the speed of the stream is 9 km/hr then what is the speed of the man in still water?a)31 km/hrb)43 km/hrc)39 km/hrd)41 km/hrCorrect answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A man rows a certain distance downstream in 5 hours and back to the same point in 8 hours If the speed of the stream is 9 km/hr then what is the speed of the man in still water?a)31 km/hrb)43 km/hrc)39 km/hrd)41 km/hrCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man rows a certain distance downstream in 5 hours and back to the same point in 8 hours If the speed of the stream is 9 km/hr then what is the speed of the man in still water?a)31 km/hrb)43 km/hrc)39 km/hrd)41 km/hrCorrect answer is option 'C'. Can you explain this answer?.
A man rows a certain distance downstream in 5 hours and back to the same point in 8 hours If the speed of the stream is 9 km/hr then what is the speed of the man in still water?a)31 km/hrb)43 km/hrc)39 km/hrd)41 km/hrCorrect answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A man rows a certain distance downstream in 5 hours and back to the same point in 8 hours If the speed of the stream is 9 km/hr then what is the speed of the man in still water?a)31 km/hrb)43 km/hrc)39 km/hrd)41 km/hrCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man rows a certain distance downstream in 5 hours and back to the same point in 8 hours If the speed of the stream is 9 km/hr then what is the speed of the man in still water?a)31 km/hrb)43 km/hrc)39 km/hrd)41 km/hrCorrect answer is option 'C'. Can you explain this answer?.
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