A man can row $9 \frac{1}{3}$ 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 Find the speed of the current

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Solution

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

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A man can row 913 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 Find the speed of the current

Let speed upstream be x kmph Then speed downstream = 3x kmphSpeed in still water = 12(3x+x)kmph=2xkmph ∴2x=283⇒x=143So Speed upstream = 143km/hr Speed downstream = 14 km/hrHence speed of the current = 12(14−143)km/hr=143km/hr=423km/hr

A man can row $9 \frac{1}{3}$ 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 Find the speed of the current