comm airline 4

Question

Against the wind a commercial airline in South America flew
1008
miles in
4.5
hours. With a tailwind the return trip took
4
hours. What was the speed of the plane in still? air? What was the speed of the? wind?

Answer 1

d=rt

1008=(r-w)(4.5)

1008=(r+w)(4)

divide the first equation by 4.5 (both sides)

divide the second equation by 4 (both sides)

224=r-w

252=r+w

add the equations

476=2r

r=238 mph for the plane

252=238+w

252-238=w

w=14 mph for the wind