SOLUTION: A plane flies 600 miles with a tail wind in 2 hours. It takes the same plane 4 hours to fly the 600 miles when flying against the wind. What is the planes speed in still air?

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Question 890656: A plane flies 600 miles with a tail wind in 2 hours. It takes the same plane 4 hours to fly the 600 miles when flying against the wind. What is the planes speed in still air?

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A plane flies 600 miles with a tail wind in 2 hours. It takes the same plane 4 hours to fly the 600 miles when flying against the wind. What is the planes speed in still air?
***
let x=plane speed in still air
let c=wind speed
(x+c)=plane speed with wind
(x-c)=plane speed against wind
distance/speed=travel time
..
600%2F%28x%2Bc%29=2
600%2F%28x-c%29=4
..
2x+2c=600
4x-4c=600
..
4x+4c=1200
4x-4c=600
add
8x=1800
x=225
plane speed in still air=225 mph