Posted by **Libuse** on Sunday, February 26, 2012 at 8:41pm.

An airplane flying with the wind can cover a certain distance in a = 3 hours. The return trip against the wind takes b = 4.5 hours. How fast is the plane and what is the speed of the wind, if the one-way distance is c = 720 miles?

- algebra -
**Reiny**, Sunday, February 26, 2012 at 8:53pm
speed of plane in no wind --- x mph

speed of wind ---- y mph

time with the wind = 720/(x+y) = 3

3x + 3y = 720

x + y = 240

time against the wind = 720/(x-y) = 4

4x - 4y = 720

x-y = 180

add the two simplified equations:

2x = 420

x = 210

back in x+y=240

210 + y = 240

y = 30

the plane has a speed of 210 mph, and the wind was 30 mph

- algebra -
**Libuse**, Sunday, February 26, 2012 at 8:57pm
You are smart! Thanks!

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