SOLUTION: A plane travels at a speed of 205mph in still air. Flying with a tailwind, the plane is clocked over a distance of 900 miles. Flying against a headwind, it takes 2 hours longer t

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A plane travels at a speed of 205mph in still air. Flying with a tailwind, the plane is clocked over a distance of 900 miles. Flying against a headwind, it takes 2 hours longer t      Log On


   

Question 1086396: A plane travels at a speed of 205mph in still air. Flying with a tailwind, the plane is clocked over a distance of 900 miles. Flying against a headwind, it takes 2 hours longer to complete the return trip. What was the wind velocity? (Round your answer to the nearest tenth.)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
            SPEED      TIME            DISTANCE
WITH        205+w     900/(205+w)       900
AGAINST     205-w     900/(205-w)       900
Difference               2


AGAINST was 2 hours more than WITH time.
900%2F%28205-w%29-900%2F%28205%2Bw%29=2
Solve this for w, the wind speed.