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25 August, 20:24

It takes a boat going upstream 11 hours to cover the same distance, as it would cover in 9 hours going downstream. What is the speed of the boat if the speed of the current is 2 km/hr?

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  1. 25 August, 20:44
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    20 km/hr

    Explanation:

    time taken by the boat going upstream = 11 hours

    time taken for downstream movement = 9 hours

    speed of the current = 2 km/h

    distance traveled by the boat = d

    Assume the speed of boat be x

    we know,

    distance = speed * time

    moving upstream

    distance = speed * time

    d = (x - 2) * 11

    downstream

    d = (x+2) * 9

    now

    (x+2) * 9 = (x - 2) * 11

    2 x = 40

    x = 20 km/hr

    hence, the speed of the boat will be 20 km/hr
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