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22 February, 20:02

A boat travels 105 km downstream in 5 hours. The return trip upstream takes 7 hours. Find the speed of the boat in still water and the speed of the current.

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  1. 22 February, 20:16
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    Speed of the boat = u

    speed of the current = v

    in downstream,

    u - v = 105/5

    u - v = 21

    in upstream

    u + v = 105/7

    u + v = 15

    add both equations

    2u = 36

    u = 18

    v = - 3

    so

    speed of the boat = 18 km/h

    speed of the current = 3 km/h
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