algebra

a tugboat goes 160 miles upstream in 20 hours. The return trip downstream takes 5 hours. Find the speed of the tugboat without a current and the speed of the current.

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  1. if tugboats speed is s, and current is c,
    since the distances are the same, and
    distance = speed * time,

    (s-c)*20 = (s+c)*5 = 160

    20s - 20c = 160
    5s + 5c = 160
    or,
    20s+20c = 640

    40s = 800
    s = 20
    c = 12

    check:
    160/32 = 5
    160/8 = 20

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