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Math Word Problem

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Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 6-mph current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water? (Please round your answer to one decimal place.)

  • Math Word Problem - ,

    speed of boat --- x mph
    speed upstream = x-6
    speed downstream = x+6

    5/(x-6) - 5/(x+6) = 20/60 = 1/3
    times 3(x-6)(x+6)
    15(x+6) - 15(x-6) = x^2 - 36
    15x + 90 - 15x + 90 = x^2 - 36
    x^2 = 216
    x = √216 = appr 14.7 mph

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