SOLUTION: An airplane makes a trip in 4 hours flying with a headwind. The plane makes the trip back in 3.5 hours with a tailwind. If the windspeed is 14 miles per hour, find the speed of
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Question 795255: An airplane makes a trip in 4 hours flying with a headwind. The plane makes the trip back in 3.5 hours with a tailwind. If the windspeed is 14 miles per hour, find the speed of the airplane. Answer by Cromlix(4381) (Show Source):
You can put this solution on YOUR website! Speed of airplane = x
Flying with headwind = x - 14
Flying with tailwind = x + 14
4*(x - 14) = 3.5*(x + 14)
4x - 56 = 3.5x + 49
Collect like terms:
4x - 3.5x = 49 + 56
0.5x = 105
x = 210 mph
Hope this helps.
:-)
