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29 January, 08:18

Flying with the wind a plane went 386 km/h. Flying into the same wind the plane only went 318 km/h. find the speed of the plane in still air and the speed of the wind.

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  1. 29 January, 08:42
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    Speed of plane in air is 352 km/hr and speed of wind is 34 km/hr

    Step-by-step explanation:

    Average speed of plane in with wind = 386 km/h

    Average speed of plane against wind = 318 km/hr

    Consider the speed of plane in wind be x km/hr and speed of plane against wind be y km/hr

    As such speed of plane in wind would be x + y km/hr and speed of plane against wind would be x - y km/hr. i. e

    x+y = 386

    x-y = 318

    by solving these two equation, we get

    2x=704

    x = 352 km/hr

    y=386 - 352

    y = 34 km/hr

    Hence, Speed of plane in air is 352 km/hr and speed of wind is 34 km/hr
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