SOLUTION: Flying with the wind, a plane flew 960 mi in 3 h. Against the wind, the plane required 4 h to fly the same distance. Find the rate of the plane in calm air and the rate of the wind
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Question 1017067: Flying with the wind, a plane flew 960 mi in 3 h. Against the wind, the plane required 4 h to fly the same distance. Find the rate of the plane in calm air and the rate of the wind. Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Flying with the wind, a plane flew 960 mi in 3 h. Against the wind, the plane required 4 h to fly the same distance. Find the rate of the plane in calm air and the rate of the wind.
let x=rate of plane in calm air
let c=rate of wind
x+c=rate of plane with the wind
x-c=rate of plane against the wind
travel time*rate=distance
3(x+c)=960
4(x-c)=960
3x+3c=960
4x-4c=960
12x+12c=3840
12x-12c=2880
add:
24x=6720
x=280
4c=4x-960
4c=160
c=40
rate of plane with the wind=320 mph
x-c=rate of plane against the wind=240 mph
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