SOLUTION: A plane traveled 1100 miles each way to Cairo and back. The trip there was with the wind. Ittook 11 hours. The trip back was into the wind. The trip back took 22 hours. Find t

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A plane traveled 1100 miles each way to Cairo and back. The trip there was with the wind. Ittook 11 hours. The trip back was into the wind. The trip back took 22 hours. Find t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1165127: A plane traveled 1100 miles each way to Cairo and back. The trip there was with the wind. Ittook 11 hours. The trip back was into the wind. The trip back took 22 hours. Find the speed ofthe plane in still air and the speed of the wind.
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Hundreds of these kind have already been done on this site.

Answer by greenestamps(13215) About Me  (Show Source):
You can put this solution on YOUR website!


The speed with the wind is 1100/11 = 100mph; the speed against the wind is 1100/22 = 50mph.

The 100mph is the plane's speed PLUS the wind speed; the 50mph is the plane's speed MINUS the wind speed. Use logical reasoning to conclude that the plane's speed is 75mph (halfway between 50mph and 100mph); then the wind speed is the difference between 75mph and either 50mph or 100mph, which is 25mph.

ANSWER: Plane speed 75mph, wind speed 25mph.