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11 August, 08:18

Alex is motorboat took four hours to make a trip down stream with a 5 mph current. The return trip against the same current took six hours. Find the speed of the boat in Stillwater and the distance he traveled.

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  1. 11 August, 09:59
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    25 mph

    120 miles

    Step-by-step explanation:

    We have that the speed is equal to:

    v = d / t

    if we solve for distance:

    d = v * t

    in this case, since it is the same route both outward and back, the distances are equal, therefore:

    v1 * t1 = v2 * t2

    t1 = 4 hours

    t2 = 6 hours

    v1 = x + 5 (downstream speed)

    v2 = x - 5 (upstream speed)

    replacing:

    (x + 5) * 4 = (x - 5) * 6

    4 * x + 20 = 6 * x - 30

    6 * x - 4 * x = 20 + 30

    2 * x = 50

    x = 25

    speed is 25 mph

    now the distance would be:

    d = (25 + 5) * 4 = 120

    d = (25 - 5) * 6 = 120

    In other words, the route was 120 miles.
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