SOLUTION: A plane can fly 1240 miles with a certain tail wind in 4 hours. When flying against a wind with the same velocity it can fly 1500 in 6 hours. What is the planes speed in still air?

Question 89115: A plane can fly 1240 miles with a certain tail wind in 4 hours. When flying against a wind with the same velocity it can fly 1500 in 6 hours. What is the planes speed in still air?
Answer by askmemath(368) (Show Source): You can put this solution on YOUR website!
Let the speed of the plane = S
Let speed of Wind = W
Now speed of plane per hour = 1240/4 = 310
Since the tail wind aids the plane S+W = 310
Similarly S-W = 1500/6 = 250
S+W = 310
S-W = 250
Adding both
2S = 560
S = 280
Therefore speed of plane = 280
RELATED QUESTIONS
A plane flies 900 miles with a tail wind in 3 hours. It takes the same plane 4 hours to... (answered by checkley71)

a plane flies 900 miles with a tail wind, in 3 hours. It takes the same plane 4 hours to (answered by ankor@dixie-net.com)

A plane flies 600 miles with a tail wind in 2 hours. It takes the same plane 4 hours to... (answered by lwsshak3)

A plane flies 900 miles with a tail wind in 3 hours. It rakes the same plane 4 hours to... (answered by Alan3354)

A plane flies 300 miles with a tail wind in 1 hour. It takes the same plane 2 hours to... (answered by stanbon)

Flying with the wind, a plane can fly 800 miles in 2 hours. Against the wind the plane... (answered by Alan3354)

A plane flies 300 miles with a tail wind in 1 hour. It takes the same plane 2 hours to... (answered by ptaylor)

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