Nova asked in Science & MathematicsMathematics · 11 months ago

Help with math!!?

An airplane travels 3240 miles in 4.5 hours with the aid of a tail wind. It takes 5 hours for the return trip, flying against the same wind. Find the speed of the airplane in the still wind, and the speed of the wind. Airplane speed:

miles per hour

Wind speed:

miles per hour

3 Answers

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  • TomV
    Lv 7
    11 months ago
    Favorite Answer

    a + w = 3240/4.5 = 720 mph

    a - w = 3240/5 = 648 mph

    2a = 1368

    a = 684 mph

    w = 720-684 = 36 mph

    Ans:

    Aircraft Airspeed = 684 mph

    Wind speed = 36 mph

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  • sepia
    Lv 7
    11 months ago

    An airplane travels 3240 miles in 4.5 hours with the aid of a tail wind.

    It takes 5 hours for the return trip, flying against the same wind.

    Find the speed of the airplane in the still wind, and the speed of the wind.

    3240/(p + w) = 4.5

    3240/(p - w) = 5

    4.5(p + w) = 5(p - w)

    0.5p = 9.5w

    p = 19w

    Airplane speed: miles per hour

    Wind speed: miles per hour

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  • Como
    Lv 7
    11 months ago

    Let speed of plane in still air = x mph

    Let wind speed = w mph

    _________________with_____against

    speed (mph)______x + w______x - w

    time (hours)_______4.5________5

    distance(miles)___4.5(x + w)___5(x - w)

    4,5x + 4.5w = 3240

    5x - 5w = 3240

    45x + 45w = 32400

    45x - 45w = 29160

    90x = 61560

    x = 684 mph_____speed in still air

    5 x 684 - 5W = 3240

    3420 - 3240 = 5W

    180 = 5W

    W = 36 mph______wind speed

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