SOLUTION: A plane makes a trip of 560 miles in 2.5 hours with the advantage of a tail wind. On the return trip the plane requires a 3 hour flying time against the wind. Find the speed of t

Question 1088110: A plane makes a trip of 560 miles in 2.5 hours with the advantage of a tail wind. On the return trip the plane requires a 3 hour flying time against the wind. Find the speed of the wind and the speed of the plane in still air.
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
Let p be the speed of the plane, and w be the speed of the wind. Then:
560/p+w=2.5
560/p-w=3
So:
2.5p+2.5w=560
3p-3w=560
7.5p+7.5w=1680
7.5p-7.5w=1400
15p=3080
p=205.333
w=18.666
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