Hermes can travel 2 mi up Mt Olympus at a rate that is 18 mi/hr slower than he rides Pegasus down the same distance. The entire trip takes 14 min. How fast can he go up? How fast can he ride down?

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  1. Let V be his speed going up so V+18 will be his speed going down, in miles/hr.

    The time required is

    14/60 hr = 0.2333 hr = 2/V + 2/(V+18)

    Solve for V

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