Question 394956: A plane travels from Orlando to Denver and back again. On the five-hour trip from Orlando to Denver, the plane has a tailwind of 40 miles per hour. On the return trip from Denver to Orlando, the plane faces a headwind of 40 miles per hour. This trip takes six hours. What is the speed of the airplane in still air?
If possible, do you think you can show your work? thank you for your time and help.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! A plane travels from Orlando to Denver and back again. On the five-hour trip from Orlando to Denver, the plane has a tailwind of 40 miles per hour. On the return trip from Denver to Orlando, the plane faces a headwind of 40 miles per hour. This trip takes six hours. What is the speed of the airplane in still air?
let x = speed of plane in still air
(x+40) = speed of plane downwind
(x-40) =speed of plane against the wind
distance = speed *travel time
downwind distance = headwind distance
5(x+40) = 6(x-40)
5x+200=6x-240
6x-5x=240+200
x=440 mph
ans: The speed of the plane in still air is 440 mph
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