SOLUTION: 1.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 Denve

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Question 633370: 1.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?
please show work

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = the speed of the plane in still air
= speed of plane from Orlando to Denver in mi/hr
= speed of plane from Denver to Orlando in mi/hr
---------
1st trip:

2nd trip:

----------------
By substitution:



440 mi/hr is the speed of the plane in still air
check:


mi
and



mi/hr
OK

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