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A river flows at the rate of 2 mph. If a motorboat can travel 12 miles upstream and return in a total of 2.5 hours, what is the speed of the motorboat in still water?

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  1. d / r = t

    [12 / (m - 2)] + [12 / (m + 2)] = 2.5

    12(m + 2) + 12(m - 2) = 2.5(m^2 - 4)

    0 = 2.5 m^2 - 24 m - 10

    use quadratic formula to find m

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