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A certain aircraft can fly 768 miles with the wind in 4 hours and travel the same distance against the wind in 6 hours. what is the speed of the wind?

  • math -

    speed of the plane without wind --- x mph
    speed of the wind ---- y mph

    time with wind :
    4(x+y) = 768
    x + y = 192

    time against wind:
    6(x-y) = 768
    x-y = 128

    add them
    2x = 320
    x = 160
    then 160+y = 192
    = 32

    windspeed = 32 mph

    check: speed with wind = 160+32 = 192 mph
    time to go 768 = 768/192 = 4
    speed against wind = 160-32 = 128
    time against wind = 768/128 = 6

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