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Arithmetic Ability
Boats and Streams

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Q.

A man can row 9 km/h in still water. It takes him twice as long as to row down. Find the rate of stream of the river ?

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Correct choice: B

Explanation:

\inline \frac{Time\: taken\: in\: upstream}{Time\: taken\: in\: downstream} = \inline \frac{2}{1} \inline \therefore \inline \frac{Downstream\: speed}{upstream\: speed} = \inline \frac{2}{1} where \inline \frac{B+R}{B-R}=\frac{2}{1} B ---> speed of boat in still water R---->speed of current \inline \Rightarrow \frac{B}{R}=\frac{3}{1} ( By componendo and dividendo) \inline \Rightarrow \frac{9}{R}=\frac{3}{1}\: \: \Rightarrow R= 3 km/h
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