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Math Ms. Sue please help

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Flying to Kampala with a tailwind a plane average 158km/h. On the return trip the plane only averaged 112km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air.

  • Math please help - ,

    Please can someone else help me?

  • Math Ms. Sue please help - ,

    speed of plane in still air --- x mph
    speed of wind ------------ y mph

    so going with the wind, speed = x+y
    against the wind, speed = x-y


    x+y = 158
    x-y = 112
    add them
    2x = 270
    x = 135
    then 135 + y = 158
    y = 23

    speed of wind is 23 mph, speed of plane in still air = 135 mph

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