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  • A person, rowing at the rate of 5 km/h in still water, takes thrice as much time in going 40 km upstream as in going 40 km downstream. Find the speed of the stream.

A person, rowing at the rate of 5 km/h in still water, takes thrice as much time in going 40 km upstream as in going 40 km downstream. Find the speed of the stream.

Answers (1)

Solution:

According to question,
Person’s speed with upstream = (5 – x) km/h
Person’s speed with downstream = (5 + x) km/h

Time with upstream = \frac{40}{5-x}\left ( Using\, t= \frac{D}{S} \right )

Time with downstream = \frac{40}{5+x}\left ( Using\, t= \frac{D}{S} \right )

\frac{40}{5-x}= \frac{3\times 40}{5+x}
(5 + x)40 = 120 (5 – x)
200 + 40x = 600 - 120 x
160x = 400
x = 2.5
Speed of stream = 2.5 km/h

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infoexpert27

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