SOLUTION: an airplane flew for 5 hours with a tail wind of 25 km/h. the return flight against the same wind took 5.5 hours. find the speed of the airplane in still air.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: an airplane flew for 5 hours with a tail wind of 25 km/h. the return flight against the same wind took 5.5 hours. find the speed of the airplane in still air.      Log On


   

Question 184911: an airplane flew for 5 hours with a tail wind of 25 km/h.
the return flight against the same wind took 5.5 hours.
find the speed of the airplane in still air.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
D=RT
THE DISTANCES ARE THE SAME THUS:
RT=RT
(X+25)5=(X-25)5.5
5X+125=5.5X-137.5
5X-5.5X=-137.5-125
-.5X=-262.5
X=-262.5/-.5
X=525 MPH IS THE PLANE SPEED IN STILL AIR.