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A man takes half time in rowing a certain distance downstream than upstream. What is the ratio or the speed in still water to the speed of current?
- a)1 : 2
- b)2 : 1
- c)1 : 3
- d)3 : 1
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A man takes half time in rowing a certain distance downstream than ups...
Let the speed of a boat in still water = u km/h
And, speed of current = v km/h
Rate downstream = (u+v) km/h
Rate upstream = (u−v) km/h
Let the distance covered in each case be x km.
(1/2) Time to travel upstream = Time to travel downstream (Given)
=> Time to travel upstream = 2 (Time to travel downstream)
Time = Distance/Speed
Then,
x/(u−v) = 2x/(u+v)
2(u−v)=u+v
u=3v
u/v = 3/1
Therefore, Required ratio = 3:1
Most Upvoted Answer
A man takes half time in rowing a certain distance downstream than ups...
Given information:
- A man takes half time in rowing a certain distance downstream than upstream.
To find:
- Ratio of speed in still water to the speed of current.
Solution:
Let's assume that the distance to be covered is 'd' and the speed in still water is 'x' and the speed of the current is 'y'.
Time taken to row upstream = d/(x-y)
Time taken to row downstream = d/(x+y)
Given that time taken downstream is half the time taken upstream.
d/(x+y) = 1/2 * d/(x-y)
2(x-y) = x+y
2x-2y = x+y
x= 3y
Therefore, the required ratio of speed in still water to the speed of current is:
x:y = 3:1
Hence, the correct answer is option 'D' (3:1).
- A man takes half time in rowing a certain distance downstream than upstream.
To find:
- Ratio of speed in still water to the speed of current.
Solution:
Let's assume that the distance to be covered is 'd' and the speed in still water is 'x' and the speed of the current is 'y'.
Time taken to row upstream = d/(x-y)
Time taken to row downstream = d/(x+y)
Given that time taken downstream is half the time taken upstream.
d/(x+y) = 1/2 * d/(x-y)
2(x-y) = x+y
2x-2y = x+y
x= 3y
Therefore, the required ratio of speed in still water to the speed of current is:
x:y = 3:1
Hence, the correct answer is option 'D' (3:1).
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A man takes half time in rowing a certain distance downstream than upstream. What is the ratio or the speed in still water to the speed of current?a)1 : 2b)2 : 1c)1 : 3d)3 : 1Correct answer is option 'D'. Can you explain this answer?
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