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26 May, 12:47

A motorboat traveling with the current went 80 miles in 4 hours. Against the current, it took 5 hours to travel the same distance. Find the rate of the motorboat in calm water.

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  1. 26 May, 12:57
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    Let x be the speed of the motorboat and y be the speed of the current.

    Then, for downstream, the speed is x + y.

    Now, speed = distance/time.

    Distance = 80 miles.

    Time for downstream = 4 hours.

    So, x + y = 80/4 = 20 (1)

    Against the current, that is for upstream, the speed is x - y.

    Time for upstream = 5 hours.

    x - y = 80/5 = 16 (2)

    Adding (1) and (2), we get,

    2x = 36

    x = 18

    Hence, rate of the motorboat in calm water = 18 miles/hour.
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