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

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) (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.

Solve this for w, the wind speed.
RELATED QUESTIONS
A plane travels at a speed of 180 mph in still air . Flying with a tailwind the plane is... (answered by josgarithmetic)

A plane travels at a speed of 180 mph in still air. Flying with a tailwind, the plane is (answered by stanbon)

A plane travels at a speed of 190 mph in still air. Flying with a tailwind, the plane is (answered by stanbon)

A plane travels at a speed of 155 mph in still air. Flying with a tailwind, the plane... (answered by josgarithmetic)

A plane travels at a speed of 220mph in still air. Flying with a tailwind, the plane is... (answered by stanbon)

A plane travels at a speed of 205 mph in still air. Flying with a tailwind, the plane is... (answered by mananth)

a plane travels at a speed of 210mph in still air. Flying with a tailwind the plane is... (answered by TimothyLamb)

A plane travels at a speed of 160 mph in still air. Flying with a tailwind the plane is... (answered by ankor@dixie-net.com,jorel555)

A plane travels at a speed of 205 MPH in still air. Flying with a tailwind, the plane is... (answered by ikleyn,Alan3354)