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Class 10 > Learn Mathematics > A person, rowing at the rate of 5 km/hr in still water,...
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A person, rowing at the rate of 5 km/hr 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?

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2.5 km/hr.
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Let the speed of the stream=v (in km/hr). Total speed down the stream=(5+v) km/hr Time to cover 40 km downstream, t1=40/(5+v) Total speed up the stream=(5-v) km/hr Time to cover 40 km upstream, t2=40/(5-v). By the problem:- t2=3 x t1=> 40/(5-v) = 3 x 40/(5+v) => 5 + v=3 (5 - v) => 4v...
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Let the speed of the stream=v (in km/hr). Total speed down the stream=(5+v) km/hr Time to cover 40 km downstream, t1=40/(5+v) Total speed up the stream=(5-v) km/hr Time to cover 40 km upstream, t2=40/(5-v). By the problem:- t2=3 x t1=> 40/(5-v) = 3 x 40/(5+v) => 5 + v=3 (5 - v) => 4v=10 => v = 10/4 = 2.5 km/hr. read less
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