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28 March, 12:44

The boat speed in still water is 30 miles per hour. A boat travels for 3 hours downstream and returns the same distance in 5 hours. find the speed of the stream

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  1. 28 March, 13:39
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    7.5 mph.

    Step-by-step explanation:

    Speed downstream = d / 3 = 30 + x where d = the distance, x = speed of the stream.

    Speed upstream = d / 5 = 30 - x.

    30 + x = d/3

    30 - x = d/5

    Adding the 2 equations

    60 = d/3 + d/5

    8/15 d = 60

    d = 60 * 15 / 8 = 112.5 miles.

    Now calculate x, the speed of the stream:

    112.5 / 3 = 30 + x

    x = 112.5 / 3 - 30

    = 7.5 mph.
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