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21 January, 20:41

An airplane travels 1,800 miles from Los Angeles to Chicago in 3.6 hours, going with the wind. The return trip takes 4 hours and is against the wind. Find the rate of the airplane with no wind. Find the rate of the wind.

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  1. 21 January, 22:26
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    The "rate" at which something travels can be referred to as velocity.

    V = displacement / time

    So going with the wind, Vp + Vw = 1800 / 3.6 = 500 mph

    Going against the wind, Vp - Vw = 1800 / 4 = 450 mph

    Vp = 500 - Vw

    Vp = 450 + Vw

    500 - Vw = 450 + Vw

    2Vw = 50

    Vw = 25 mph

    Vp = 475 mph
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