Question

A light plane flew from its home base to an airport 255 miles away. With a head wind, the trip took 1.7 hours. The return trip with a tail wind took 1.5 hours. Find the average airspeed of the plane and the average wind-speed.

Answer 1

Answer:

Let the speed of the plane be x

Let the speed of the wind be y

1.7(x-y)=255 --->1.7x-1.7y=255 (equation 1)

1.5(x+y)=255 --->1.5x+1.5y=255 (equation 2)

Multiply equation 1 by 15 and equation 2 by 17 to get:

25.5x-25.5y=3825 (add)

25.5x+25.5y=4335 (add)

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51x=8160 (divide both sides by 51)

x=160

Solve for y:

1.7(160)-1.7y=255

272-1.7y=255

-1.7y=--17

y=10

Hence the speed of the plane is 160mi/h and the speed of the wind is 10mi/h.

Paul.

Step-by-step explanation:

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