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1 February, 12:50

A boat can travel 30 miles upstream in the same amount of time you can travel 50 miles Downstream. If the speed of the current is 4 miles per hour, find the speed of the boat in still water.

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  1. 1 February, 13:32
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    The correct answer is 16mph.
  2. 1 February, 15:48
    0
    Speed, S = Distance (d) / Time (t) = > S = d/t = > t = d/S

    Let the speed of boat in still water be x mph

    Resulting speed upstream = x-4 mph for a distance of 30 miles

    Resulting speed downstream = x-4 mph for a distance of 50 miles

    Time taken in both distances is equal.

    Therefore,

    30 / (x-4) = 50 / (x+4) = > 30 (x+4) = 50 (x-4) = > 30x+120 = 50x-200 = > 120+200 = (50-30) x = > 20x = 320 = > x=320/20 = 16 mph

    The speed of boat in still water is 16 mph.
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