SOLUTION: When flying with the wind from A to B, it takes a plane 6 hours. Whenn flying against the wind from B to A, it takes the plane 8 hours. It is 500 miles from A to B. How fast is t

Question 278256: When flying with the wind from A to B, it takes a plane 6 hours. Whenn flying against the wind from B to A, it takes the plane 8 hours. It is 500 miles from A to B. How fast is the plane in still air, and how fast is the wind?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
When flying with the wind from A to B, it takes a plane 6 hours. When flying against the wind from B to A, it takes the plane 8 hours. It is 500 miles from A to B. How fast is the plane in still air, and how fast is the wind?
---------------
With wind DATA:
time = 6 hrs ; distance = 500 ; rate = d/t = 500/6 = 83.33 mph
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Against wind DATA:
time = 8 hrs ; distance = 500 ; rate = d/t = 500/8 = 62.5mph
-------------------
Equations:
rate = rate
p+w = 83.33
p-w = 62.5
--------------------------------
2p = 145.83
p = 72.92 (plane speed in still air)
---------------------------
Substitute into p+w = 83.33 to solve for w = 83.33-72.92 = 10.41 mph
(wind speed)
============================
Cheers,
Stan H.

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