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A person can row at the rate of 5 km/hr in still water. He takes twice as much time in going 40 km upstream as in going 40 km downstream. Find the speed of stream.

Posted by Disha Rathore 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

Let the speed of the stream = x km/hr
Speed of the boat in upstream = (5 - x) km/hr
Speed of the boat in downstream = (5 + x) km/hr
Distance = 40 km
Time taken in upstream = {tex}{40 \over (5 - x)} hr{/tex}
Time taken in downstream = {tex}{40\over (5 + x)} hr{/tex}
According to the question,
{tex}\frac{40}{{5 - x}} = 3\left( {\frac{40}{{5 + x}}} \right){/tex}
⇒ (5 + x) = 3(5 - x)
⇒ 5 + x = 15 - 3x
⇒ 4x = 10
⇒ x = 2.5
Therefore, speed of the stream = 2.5 km/hr.

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