Find the speed of the plane in still air and the speed of the wind.

Question

A plane traveled 2770 miles with the wind in 5 hours and 2300 miles against the wind in the same amount of time.

Answer 1

d=rt

2770=(r+w)5

2300=(r-w)5

554=r+w

460=r-w

add

1014=2r

r=1014/2

r=507 mph is the speed of the plane

554=507+w

554-507=w

w=47 mph is the speed of the wind