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15 April, 04:31

A boat's crew rowed 33kilometers downstream, with the current, in 3hours. The return trip upstream, against the current, covered the same distance, but took 11hours. Find the crew's rowing rate in still water and the rate of the current.

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  1. 15 April, 07:52
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    The crew rowing rate in still water = 7km/hr

    The rate of the current = 4km/hr

    Step-by-step explanation:

    The distance rowed downstream with the current = 33km

    Time taken to row downstream = 3hrs

    The distance rowed upstream against the current = 33km

    Time taken to row upstream = 11hrs

    Let the crew's rowing rate in still water = Xkm/hr

    Let the rate of current = Ykm/hr

    For the downstream movement, we will have (X+Y). This is because the boat rowed with the current

    For the upstream movement, we will have (X-Y). This is because the boat rowed against the current

    Downstream Speed = distance / time

    = 33/3

    = 11km

    Upstream speed = distance / time

    = 33/11

    = 3km

    Hence X+Y = 11 and X-Y = 3

    Add both equations. We have

    X+Y+X-Y = 11 + 3

    2X = 14

    X = 14/2

    X = 7

    put X = 7 in any of the equations

    7-Y = 3

    Y = 7-3

    Y = 4

    Hence the crew rowing rate in still water = 7km/hr and the rate of the current = 4km/hr
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