# It took an airplane 2 hours

User Generated

Eboovaf

Mathematics

### Question Description

It took an airplane 2 hours to fly 640 miles against a headwind. The return trip with the wind took 1 1/3 hours. Find the speed of the plane with no wind and the wind speed.

The speed of the plane is?

The wind speed is?

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D=640

Time=2hrs

The plane goes against headwind so the planes velocity= plane speed -wind speed

640/2=velocity=320

When he flies back he goes with the wind: velocity=plane speed+wind speed

640/1.33=480

Now we make our equations:

320=p[lane speed -wind speed

480=plane speed+wind speed

800=2*plane speed

plane speed=400

substitute back into second eqn:

480=400+windspeed

airspeed=80

So: Plane Speed=400 mi/hr, Wind Speed=80 mi/hr

Cenfunag F (1995)
UIUC
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Anonymous
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