SOLUTION: A plane traveled 1012 miles to Rome and back. The trip there was with the wind. It took 11 hours. The trip back was into the wind. The trip back took 22 hours. What is the speed of

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Question 1099723: A plane traveled 1012 miles to Rome and back. The trip there was with the wind. It took 11 hours. The trip back was into the wind. The trip back took 22 hours. What is the speed of the plane in still air? What is the speed of the wind?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
This form of exercise is too, too common. You will find maybe hundreds of examples solved on the site.

A possible approach or method to begin:
r, speed if wind absent
w, speed of wind
                     SPEED       TIME       DISTANCE
GOING(with)          r+w         11         1012
RETURN(against)      r-w         22         1012

Basic rule R%2AT=D so this means R=D%2FT.

You have this system:
system%28r%2Bw=1012%2F11%2Cr-w=1012%2F22%29
Simplify further and solve.