A man can row $9 \frac{1}{3} k m p h$ in still water and finds that it takes him thrice as much time to row up then as to row down the same distance in the river. Find the speed of the current.

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Solution

Let speed upstream be $x$ kmph.
Then, speed downstream $= 3 x$ kmph.
Speed in still water $= \frac{1}{2} (3 x + x) = 2 x$ kmph
$∴ 2 x = \frac{28}{3} \Rightarrow x = \frac{14}{3}$
So, Speed upstream $= \frac{14}{3}$ km/hr
Speed downstream $= 14$ km/hr
Hence, the speed of the current $= \frac{1}{2} (14 - \frac{14}{3}) = \frac{14}{3} = 4 \frac{2}{3} k m / h r$

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