A man can row 9 1/3 kmph in still water and finds that it takes him thrice as much time to row up than as to row down the same distance in the river. The speed of the current is
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The speed of current will be 14/3 kmph
Explanation :
Let the speed of the current = s
Speed of man in still water = 9 1/3 = 28/3 kmph
=> speed in upstream = 28/3 - s
speed in downstream = 28/3 + s
we know that speed = distance/time
=> speed ∝ 1/time
=> speed in downstream/speed in upstream = time in upstream/time in downstream
=> (28/3 + s)/(28/3-s) = 3
=> 28/3+s = 28 - 3s
=> 4s = 28 - 28/3 = 56/3
=> s = 14/3
Hence the speed of current will be 14/3 kmph
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