SOLUTION: A small plane travels 240 miles with the wind in the same time it would take to fly 190 miles against the wind. If the wind has a constant rate of 15 miles per hour, what is the s

Question 256915: A small plane travels 240 miles with the wind in the same time it would take to fly 190 miles against the
wind. If the wind has a constant rate of 15 miles per hour, what is the speed of the plane in still air?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
d=rt
240=(r+15)t or t=240/(r+15)
190=(r-15)t or t=190/(r-15)
Because the times are the same we set them equal:
240/(r+15)=190/(r-15) cross multiply.
240(r-15)=190(r+15)
240r-3,600=190r+2,850
240r-190r=2,850+3,600
50r=6,450
r=6,450/50
r=129 mph is the speed of the plane in still air.
Proof:
240/(129-15)=190/(129+15)
240/144=190/114
144*190=240*114
27,360=27,360
RELATED QUESTIONS
with no wind blowing, a plane travels at 240 mph. if a plane travels 810 miles with a... (answered by checkley77)

In the time it takes a pilot to fly 360 miles with a head wind, she can only fly 240... (answered by robertb)

A small plane can fly 180 miles against a 30 mph wind in the same amount of time it takes (answered by josmiceli)

behind it a small plane can fly 240 miles in 3 hours.Fling the same distance into the... (answered by lwsshak3)

A light private plane can fly 120 mph in still air. Flying against the wind, the plane... (answered by checkley77)

A plane can travel 640 miles against the wind in the same time it can travel 800 miles... (answered by nerdybill)

A plane can fly 190 mph in calm air. Flying with the wind, the plane can fly 836 mi in... (answered by ewatrrr,Theo)

A plane can fly 300 miles with the wind in the same amount of time as it can travel 210... (answered by josgarithmetic)

A small airplane can travel 210 mph in still air. The plane can fly 520 miles with the... (answered by greenestamps,mananth)