SOLUTION: A plane traveled 1525 miles with the wind in 2.5 hours and 1425 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the win

Question 1170571: A plane traveled 1525 miles with the wind in 2.5 hours and 1425 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The speed of the plane with the wind is 1425 miles/2.5 hours or 610 mph. This speed is the speed of the plane, s, plus the speed of the wind w, or s+w. Similarly, it is s-w against the wind, and 1425/2.5=570 mph.
These are simultaneous equations.

s+w=610 mph (1525/2.5)
s-w=570 mph
2s=1180
s=590 mph speed in still air.
w=20 mph speed of the wind.
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