SOLUTION: How do you find the speed of the plane is still weather? As in "A jet plane flies 5 hours west with a 60 MPH headwind. The plane returns east with a tailwind and the round trip

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Question 727828: How do you find the speed of the plane is still weather?
As in "A jet plane flies 5 hours west with a 60 MPH headwind. The plane returns east with a tailwind and the round trip took 9 hours of flying"

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The plane moves at a certain speed x (in mph) relative to the air.
That is the speed of the plane in still air.
When the plane flies into a 60 mph headwind, its speed relative to the ground is
x-60.
In 5 hours covers a distance of 5%28x-60%29 miles.

When the plane flies with a 60 mph tailwind, its speed relative to the ground is
x%2B60.
The return trip lasts 4 hours (9 hours total time - 5 hours = 4 hours).
During the 4-hour return trip the plane covers 4%28x%2B60%29 miles.

Since the distance going West and the distance returning are the same,
5%28x-60%29=4%28x%2B60%29

We must find x:
5%28x-60%29=4%28x%2B60%29 --> 5x-300=4x%2B240%29 --> 5x-300-4x%2B300=4x%2B240-4x%2B300%29 --> 5x-4x=240%2B300%29 --> highlight%28x=740%29