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14 August, 17:28

Flying against the wind, an airplane travels 2670 km in 3 hours. Flying with the wind, the same plane travels 11,070 km in 9 hours. What is the rate of the plane in still air and what is the rate of the wind?

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  1. 14 August, 17:40
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    speed of plane in still air = 1060 km/h

    speed of wind = 170 km/h

    Explanation:

    Let teh speed of plane in still air is vp and the speed of air is va.

    Irt travels 2670 km in 3 hours against the wind

    So,

    vp - va = 2670 / 3 = 890 km/h ... (1)

    It travels 11070 km in 9 hours along the wind.

    vp + va = 11070 / 9 = 1230 km/h ... (2)

    Adding both the equations

    2 vp = 2120

    vp = 1060 km/h

    and va = 1230 - vp = 1230 - 1060 = 170 km/h
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