SOLUTION: a plane can travel 480 miles with the wind in two hours. It takes about 3 hours to travel the same distance against the wind. How fast can the plane go and how fast is the wind?

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Question 371399: a plane can travel 480 miles with the wind in two hours. It takes about 3 hours to travel the same distance against the wind. How fast can the plane go and how fast is the wind?
How do I set this problem up to solve?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=DIstance
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.
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Let the plane speed be P and the wind speed by W.
With the wind,
%28P%2BW%292=480
1.P%2BW=240
Against the wind,
%28P-W%293=480
2.P-W=160
Add eq. 1 and eq. 2,
P%2BW%2BP-W=240%2B160
2P=400
highlight%28P=200%29mph
Then from eq. 1,
200%2BW=240
highlight%28W=40%29mph