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math

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a small plane flying into the wind takes 3 hrs 20 min to complete a flight of 960 km. Flying with the wind the same plane takes 2 h 30 min to make the trip.what is the speed of the plane? what is the speed of the wind?

can u plz finish the whole question??
with the speed,time, distance graph?

  • math -

    plane -- x
    wind -- y
    960/(x-y) = 10/3 (#1)
    960/(x+y) = 2.5 (#2)

    #1
    2.5(x+y) = 960
    5x+ 5y = 1920

    #2
    10/3(x-y) = 960
    10x+10y = 2880

    2(#1)
    10x + 10y = 3840
    #2 : 10x-10y = 2880
    add them
    20x = 6720
    x=336
    sub back in simplest #1
    5(336) + 5y = 1920
    y = 48

    check:
    with wind: 960/(336+48) = 2.5
    against: 960/(336-48) = 10/3 ... YEAH

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