math 116

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A Coast-Guard patrol boat travels 4 hr on a trip downstream with a 6-mph current. The return trip against the same current
takes 5 hr. Find the speed of the boat in still water

  • math 116 -

    The downstream speed with respect to land is V+6 and the upstream speed is V-6, where V is the speed in still water.
    Let the distance be D

    D/(V+6) = 4 hrs
    D/(V-6) = 5

    4(V+6) = 5(V-6)
    V = 54 mph

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