Question

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 1

you can put say \(r\) as the rate, and therefore the rate with the wind is \(r+40\) and the rate against it is \(r-40\)
then as distance is rate times time, you know
\[\frac{D}{r+40}=4\] or \[D=4(r+40)\] similarly
\[D=6(r-40)\]
since the distance is the same in both equations, solve
\[4(r+40)=6(r-40)\] for \(r\)

Answer 2

you good from there?

Answer 3

Explain more please sorry

Answer 4

explain how to solve the equation, or explain where the equation came from?