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Homework math problem?

Hello,

I'm having trouble with the steps in this equation, how do you solve this type of an equation?

With a​ tailwind, a aircraft can fly 204 miles in 2 hours. Against this same​ wind, the aircraft can fly the same distance in 3 hours. Find the effect of the wind and the average airspeed of the aircraft.

2 Answers

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  • Anonymous
    3 years ago

    speed = distance/time

    204/2 = 102 mph

    204/3 = 68 mph

    The speed of the aircraft without wind will be the average of the 2 speeds;

    (102 + 68)/2 = 85 mph

    102 - 85 = wind speed of 17 mph

    check:

    85 - 68 = wind speed of 17 mph

    Aircraft 85mph

    wind 17 mph

  • 3 years ago

    Distance = rate * time

    w = wind

    a = airspeed

    204 = 2(a + w) With the wind

    204 = 3(a - w) Into the wind

    102 = a + w

    68 = a - w

    170 = 2a

    a = 85

    w = 17

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