SOLUTION: A certain aircraft can fly 612 miles with the wind in 3 hours and travel the same distance against the wind in 6 hours. What is the speed of the wind?

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Question 808988: A certain aircraft can fly 612 miles with the wind in 3 hours and travel the same distance against the wind in 6 hours. What is the speed of the wind?
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A certain aircraft can fly 612 miles with the wind in 3 hours and travel the same distance against the wind in 6 hours. What is the speed of the wind?
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let x=speed of plane in still air
let c=speed of wind
(x+c)speed of plane with the wind
(x-c)speed of plane against the wind
distance/speed=travel time
..
612%2F%28x%2Bc%29=3
612%2F%28x-c%29=6
..
3x+3c=612
6x-6c=612
..
6x+6c=1224
6x-6c=612
subtract
12c=612
c=51
speed of wind=51 mph