SOLUTION: A plane traveled 1512 miles to Ankara and back. The trip there was with the wind. It took 12 hours. The trip back was into the wind. The trip back took 18 hours. Find the spee

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A plane traveled 1512 miles to Ankara and back. The trip there was with the wind. It took 12 hours. The trip back was into the wind. The trip back took 18 hours. Find the spee      Log On


   

Question 888990: A plane traveled 1512 miles to Ankara and back. The trip there was with the wind. It took 12 hours. The trip back was into the wind. The trip back took 18 hours. Find the speed of the plane in still air and the speed of the wind.
wind = 756/18 = 42
plane = 756/12 + 42 = 105
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A plane traveled 1512 miles to Ankara and back. The trip there was with the wind. It took 12 hours. The trip back was into the wind. The trip back took 18 hours. Find the speed of the plane in still air and the speed of the wind.
***
let x=speed of plane in still air
let c=speed of wind
(x+c)=speed of plane with wind
(x-c)=speed of plane against wind
distance/speed=travel time
..
1512/(x+c)=12
1512/(x-c)=18
..
12x+12c=1512
18x-18c=1512
..
36x+36c=4536(mult. by 3)
36x-36c=3024(mult. by 2)
add
72x=7560
x=105
12c=1512-12x=252
c=21
speed of plane in still air=105 mph
speed of wind=21 mph