A person can row a boat at the rate of 5 km/hour in still water. He takes thrice as much time in going 40 km upstream as in going 40 km downstream. Find the speed of the stream.
Given that,
Speed of boat in still water = 5 km/hour.
Distance covered by boat = 40 km
Now we are assuming that the speed of the stream is, then
Speed of the boat rowing upstream =, and
Speed of the boat rowing downstream =
According to the given condition, time taken to cover in upstream is three times the time taken to cover in downstream, therefore
$\frac{40}{5-v}=3 \times \frac{40}{5+v}$
$\Rightarrow 5+v=15-3 v$
$\Rightarrow \quad 4 v=10$
$\Rightarrow \quad v=2.5$
Hence the speed of stream is 2.5 km/hour.
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