SOLUTION: An airplane makes a trip in 3.2 hours flying against the wind. The same plane makes the same trip in 3 hours flying withe the wind. If the wind is moving at 7 miles per hour, fin

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Question 795256: An airplane makes a trip in 3.2 hours flying against the wind. The same plane makes the same trip in 3 hours flying withe the wind. If the wind is moving at 7 miles per hour, find the speed of the plane.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Speed of plane = x
Flying against wind = x - 7mph
Flying with wind = x + 7mph
3.2 * (x - 7mph) = 3 * (x + 7mph)
3.2x - 22.4 = 3x + 21
Collect like terms
3.2x - 3x = 21 + 22.4
0.2x = 43.4
x = 217 mph
This is the speed of the plane.
Hope this helps.
:-)