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 624629: 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+ = the speed of the plane in still air in mi/hr
Let +d+ = distance between Orlando and Denver in miles
Orlando to Denver:
(1) +d+=+%28+s+%2B+40+%29%2A5+
Denver to Orlando:
(2) +d+=+%28+s+-+40+%29%2A6+
-------------------
(1) +d+=+5s%2B+200+
(2) +d+=+6s+-+240+
By substitution,
+5s+%2B+200+=+6s+-+240+
+s+=+200+%2B+240+
+s+=+440+
The speed of the plane in still air is 440 mi/hr
check:
(2) +d+=+6s+-+240+
(2) +d+=+6%2A440+-+240+
(2) +d+=+2640+-+240+
(2) +d+=+2400+
--------------
(1) +d+=+5s%2B+200+
(1) +2400+=+5%2A440%2B+200+
(1) +2400+=+2200+%2B+200+
(1) +2400+=+2400+