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college math

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boat travels 160 miles downstream in the same time that it takes to go 96 upstream. the pead of the stream is 6 mph. what is the speed of still water

  • college math -

    v = boat speed
    speed downstream = (v + 6)
    speed upstream = (v-6)
    time = distance/speed
    160/(v+6) = 96/(v-6)

    10/(v+6) = 6/(v-6)

    5/(v+6) = 3/(v-6)

    3(v+6) = 5(v-6)
    3 v + 18 = 5 v - 30
    2 v = 48
    v = 24 mph

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