SOLUTION: A plane flies 300 miles with a tail wind in 1 hour. It takes the same plane 2 hours to fly the 300 miles when flying against the wind. What is the plane�s speed in still air?

Question 141479: A plane flies 300 miles with a tail wind in 1 hour. It takes the same plane 2 hours to fly
the 300 miles when flying against the wind. What is the plane�s speed in still air?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A plane flies 300 miles with a tail wind in 1 hour. It takes the same plane 2 hours to fly the 300 miles when flying against the wind. What is the plane�s speed in still air?
---------
Let plane speed in still air be "p".
Let wind speed be "w".
------------------------
With wind DATA:
distance = 300 ; time = 1 hr ; rate = 300/1 mph
---------------------------
against wind DATA:
distance = 300 ;time = 2 hr ; rate = 300/2 = 150 mph
-------------------------
EQUATIONS:
p+w = 300
p-w = 150
---------------
Add to get:
2p = 450
p = 225 mph (speed of plane in still air)
----------------------------------
Substitute into p+w = 300 to solve for w:
225 + w = 300
w = 75 mph (speed of the wind)
===================================
Cheers,
Stan H.

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

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

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

A plane flies 900 miles with a tail wind in 3 hours.It takes the same plane 2 hours to... (answered by oberobic)

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 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 900 miles, with a tail wind, in 3 hours. It takes the same plane 5 hours to (answered by Paul)

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