SOLUTION: An airplane travels 3780 miles in 4.5 hours with the aid of a tail wind. It takes 5 hours for the return trip, flying against the same wind. Find the speed of the airplane in the s

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: An airplane travels 3780 miles in 4.5 hours with the aid of a tail wind. It takes 5 hours for the return trip, flying against the same wind. Find the speed of the airplane in the s      Log On


   

Question 999538: An airplane travels 3780 miles in 4.5 hours with the aid of a tail wind. It takes 5 hours for the return trip, flying against the same wind. Find the speed of the airplane in the still wind, and the speed of the wind.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The question type is too common. 


                   rate          time       distance
WITH WIND          r+w           4.5          3780
AGAINST WIND       r-w           5            3780

The data can also be arranged and kept purely in variable symbols.

Basic uniform travel rates RT=D relates rate time and distance.

system%28%28r%2Bw%29%284.5%29=3780%2C%28r-w%29%2A5=3780%29

The arithmetic steps and final computations are not done here and you need to do them.