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math algebra

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Paul Websters motorboat can travel 15 mph in still water. Traveling with the current of a river, the boat can travel 20 miles in the same time it takes to go 10 miles againt the current. Find the speed of the current.

  • math algebra - ,

    (15+Vc)t = 20
    Eq1: 15t + Vc*t = 20

    (15-Vc)t = 10
    Eq2: 15t - Vct = 10
    Add Eq1 and Eq2:
    15t + Vct = 20
    15t _ Vct = 10

    30t = 30
    t = 1 h.

    15*1 + Vc*1 = 20
    Vc = 20-15 = 5 mi/h. = Velocity of current.

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