SOLUTION: a twin engined aircraft can fly 816 miles from one city to another in 3 hours with the wind and make the return trip in 8 hours against the wind.what was the speed of the wind?

Question 965111: a twin engined aircraft can fly 816 miles from one city to another in 3 hours with the wind and make the return trip in 8 hours against the wind.what was the speed of the wind?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
a twin engined aircraft can fly 816 miles from one city to another in 3 hours with the wind and make the return trip in 8 hours against the wind.what was 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)=816
8(x-c)=816
..
3x+3c=816
8x-8c=816
..
24x+24c=6528 (mult. eq. by 8)
24x-24c=2448 (mult. eq. by 3)
subtract:
48c=4080
c=85
speed of wind=85 mph
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