SOLUTION: an airplane covers a distance of 750 miles in 2 hours when it flies with the wind and 3 1/3 hours when it flies against the wind.what is the speed of the plane in still air?

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Question 718000: an airplane covers a distance of 750 miles in 2 hours when it flies with the wind and 3 1/3 hours when it flies against the wind.what is the speed of the plane in still air?
Answer by lwsshak3(11628) About Me  (Show Source):
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an airplane covers a distance of 750 miles in 2 hours when it flies with the wind and 3 1/3 hours when it flies against the wind.what is the speed of the plane in still air?
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let x=speed of the plane in still air
let c=speed of the wind
(x+c)=speed of the plane with the winds
(x-c)=speed of the plane against the wind
speed=distance/travel time
..
750/2=x+c
750/(10/3)=x-c
..
750=2x+2c
2250=10x-10c
..
3750=10x+10c
2250=10x-10c
6000=20x
x=300
2c=750-2x=150
c=75
speed of the plane in still air=300 mph
speed of the wind=75 mph