A plane traveled 1096 miles with the wind in 2 hours and 948 miles against the wind in the same amount of time.....

Question

A plane traveled 1096 miles with the wind in 2 hours and 948 miles against the wind in the same amount of time. Find the speed of the place in still air and the speed of the wind.

Answer 1

d=rt

1096=(r+w)*2

948=(r-w)*2

divide both sides by 2 in both equations

548=r+w

474=r-w

add

1022=2r

r=1022/2

r=511 mph (speed of the plane)

548=511+w

548-511=w

w=37 mph (speed of the wind)