SOLUTION: 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

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Question 396097: 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?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let s = speed of plane in still air
given:
Orlando-Denver:
d+=+%28s+%2B+40%29%2A5
Denver-Orlando:
d+=+%28s+-+40%29%2A6
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Since the distance for both trips
is the same, I can say:
%28s+%2B+40%29%2A5+=+%28s+-+40%29%2A6
5s+%2B+200+=+6s+-+240
s+=+440
The speed of the plane in still air is 440 mi/hr
check answer:
d+=+%28s+%2B+40%29%2A5
d+=+480%2A5
d+=+2400
and, also,
d+=+%28s+-+40%29%2A6
d+=+400%2A6
d+=+2400
OK