SOLUTION: a plane traveled 2296 miles with the wind in 4 hours and 1904 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind.

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Question 909319: a plane traveled 2296 miles with the wind in 4 hours and 1904 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
a plane traveled 2296 miles with the wind in 4 hours and 1904 miles against the wind in the same amount of time. Find the speed of the plane in still air and 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
travel time*speed=distance
..
4(x+c)=2296
4(x-c)=1904
..
4x+4c=2296
4x-4c=1904
add
8x=4200
x=525
4c=2296-4x=196
c=49
speed of plane in still air=525 mph
speed of wind=49 mph