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tugboat goes 160 miles upstream in 10 hours. The return trip downstream takes 5 hours. Find the speed of the tugboat without a current and the speed of the current.

speed of tugboat is
speed of the current is

  • algebra -

    speed of tugboat in still water -- x
    speed of current ----- y

    the key is that the distance is the same

    so 10(x-y) = 160 or
    x - y = 16

    and 5(x+y) = 160
    x+y = 32
    add them:::
    2x = 48
    x = 24 , then y = 8

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