A plane flies from city x to city y against the wind in 8 hours and flies back from city y to city x with the wind in 5 hours. If the speed of the wind is 650 mph, find the wind speed in mph?

Answer 1

That is some wind!!!
I think you have a typo and meant that the plane's speed is 650 mph.

however, taking it as is:
let the plane's speed be x mph

from city x to city y: distance = 8(x-650)
from city y to city x: distance = 5(x+650)

8(x-650) = 5(x+650)

solve for x , you will get a speed of 2817 mph

Make the necessary changes.