ASAP!!!!! I need how the problem is set up, the work solving the problem, along with the solution of them: 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?

Question

ASAP!!!!! I need how the problem is set up, the work solving the problem, along with the solution of them: 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?

anonymous · Answer

Let the speed of the airplane in still air be x.

On the 5 hr trip from orlando to denver, the speed of the plane is x+ 40. Note that tailwind means wind blowing in the direction of where you are travelling. 
Distance travelled = (x+40) * 5

On the 6 hr trip from denver to orlando, the speed of the plane x-40. 
Distance travelled = (x-40) * 6

Since both distance travelled is equal,

(x+40) *5 = (x-40) * 6
5x+ 200 = 6x - 240
x = 440.

Speed of the airplane 440 miles per hour