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11 November, 07:05

A pilot can fly 2100 miles with the wind in the same time she can fly 1890 miles against the wind. If the speed of the wind is 25 mph, find the speed of the plane in still air

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  1. 11 November, 07:11
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    475 mph

    Step-by-step explanation:

    Distance = rate * time

    time = distance / rate

    If x is the speed of the plane in still air:

    2100 / (x + 25) = 1890 / (x - 25)

    Cross multiply:

    2100 (x - 25) = 1890 (x + 25)

    Distribute and solve:

    2100x - 52500 = 1890x + 47250

    210x = 99750

    x = 475
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