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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.
Given:
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.
To do:
We have to find the speed of the stream.
Solution:
Speed of rowing by the person $=5\ km/hr$.
Let the speed of the stream be $x\ km/hr$.
Upstream Speed $=(5−x)\ km/hr$
Downstream speed $=(5+x)\ km/hr$
According to the question,
$\frac{40}{5−x}=\frac{3\times40}{5+x}$
$\Rightarrow 5+x=15−3x$
$\Rightarrow 4x=10$
$\Rightarrow x=2.5\ km/hr$
Therefore, the speed of the stream is $2.5\ km/hr$.
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