A plane traveled 1512 miles each way to Athens and back. The trip there was with the wind. It
took 9 hours. The trip back was into the wind. The trip back took 12 hours. Find the speed of
the plane in still air and the speed of the wind.

Question

A plane traveled 1512 miles each way to Athens and back.  The trip there was with the wind.  It
took 9 hours.  The trip back was into the wind.  The trip back took 12 hours.  Find the speed of
the plane in still air and the speed of the wind.

Rx1nyDxyz · Answer

Ok do you have any idea of where to start here?

surjithayer · Answer

let the speed of plane in still air=x mph
speed of wind =y mph
speed of plane with wind=d/t=1512/9=168 mph
speed of plane into wind=1512/12=126 mph
x+y=168
x-y=126
adding
2x=294
x=147 mph
147+y=168
y=168-147=21 mph
speed of plane in still air=147 mph
speed of wind=21 mph