SOLUTION: A plain travels 560 miles to San Francisco and back. The trip there was with the wind. It took 7 hours. The trip back was into the wind. The trip back took 14 hours. Find the speed

Question 175912: A plain travels 560 miles to San Francisco and back. The trip there was with the wind. It took 7 hours. The trip back was into the wind. The trip back took 14 hours. Find the speed of the plain in still air and the speed of the wind.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = speed of plane in still air
Let = speed of the wind
with the wind:
(1)
Against the wind:
(2)
given:
hrs
hrs
mi
rewriting (1) and (2),
(1)
(2)
------------------------
(1)
(2)
Multiply (1) by and add to (2)
(1)
(2)

mi/hr
(1)

mi/hr
The plane's speed in still air was 60 mi/hr
the wind speed was 20 mi/hr
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