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6 March, 20:05

If a person rows to this favorite fishing spot 17 miles downstream in the same amount of the time he rows 1 mile upstream and if the current is 8mph, find how long it takes him to cover 18 miles

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  1. 6 March, 20:30
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    We use the formula : Displacement = Average Velocity * Time;

    17 = (v + 8) * t;

    1 = (v - 8) * t;

    where v = the velocity of the boat; t is the time from expression " ... in the same amount of the time he rows ... "

    Then 17 / 1 = (v + 8) / (v - 8);

    v + 8 = 17 (v - 8);

    v + 8 = 17v - 136;

    144 = 16v;

    v = 144 / 16;

    v = 9 mph;

    18 = 9 * x;

    x = 18 / 9;

    x = 2 hours;

    The answer is 2 hours;
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