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.
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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