SOLUTION: A certain aircraft can fly 756 miles with the wind in 3 hours and travel the same distance against the wind in 7 hours. What is the speed of the wind

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Question 967240: A certain aircraft can fly 756 miles with the wind in 3 hours and travel the same distance against the wind in 7 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 756 miles with the wind in 3 hours and travel the same distance against the wind in 7 hours. What is the speed of the wind
***
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
travel time*speed=distance
..
3(x+c)=756
7(x-c)=756
..
3x+3c=756
7x-7c=756
..
21x+21c=5292
21x-21c=2268
subtract
42c=3024
c=72
What is the speed of the wind? 72 mph