Kelsey R.

asked • 01/21/15# Find the speed of the plane with no wind and the windspeed.

It took an airplane 4hours to fly 1,600mi against a headwind. The return trip with the wind took 313hours. Find the speed of the plane with no wind and the windspeed.

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## 1 Expert Answer

Larry C. answered • 01/29/15

Tutor

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Computer Science and Mathematics professional

While I can't give an exact answer with the info given, I can show how to solve once the correct time for the return trip is known. Let x be the airplane speed, y be the wind speed and assume 3 hours for the return trip.

Going against the wind: 4(x-y) = 1600

Going with the wind: 3(x+y) = 1600

Therefore 4x - 4y = 3x + 3y

4x = 3x + 7y

x = 7y

3x + 3y = 1600

21y + 3y = 1600

24y = 1600

y = 66 2/3

x = 7y = 466 2/3

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01/22/15