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8 April, 21:15

A plane flies at x miles per hour in still air. Flying with a tailwind, its speed is 485 miles per hour. Against the wind, its air speed is only 445 miles per hour. What is the speed of the wind?

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  1. 8 April, 21:21
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    Answer:20mph

    Step-by-step explanation:

    speed of plane = x mph

    Speed of plane with wind = 485 mph

    So therefore, speed of wind =

    485 - x

    Speed of plane against wind = 445 mph

    So therefore, speed of wind =

    x - 445

    So therefore, equating the 2 equations of speed of wind

    485 - x = x - 445

    Collect like terms

    485 + 445 = x + x

    930 = 2x

    2x = 930

    x = 930/2 = 465 mph

    Speed of wind = x = 465mph

    So we put this value on any of the equations for speed of wind

    Speed of wind = x - 445 = 465 - 445

    = 20 mph

    So therefore, speed of wind = 20mph
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