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A person rowing at the rate …

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A person rowing at the rate af 5 km/h in still weter ,takes thrce as much time in going 40 km upstrem as in goigg 40 km downstreamm . Find the speed af the stream.

    • Posted by Mohit Kumar 5 years, 8 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 5 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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