SOLUTION: A plane traveled 1260 miles each way to Rome and back. The trip there was with the wind. It took 9 hours. The trip back was into the wind. The trip back took 15 hours. What is th

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Question 1170008: A plane traveled 1260 miles each way to Rome and back. The trip there was with the wind. It
took 9 hours. The trip back was into the wind. The trip back took 15 hours. What is the speed of the plane in still air? What is the speed of the wind?
Found 2 solutions by greenestamps, josgarithmetic:
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


(1) Divide the distance by each of the two times to find the speeds with the wind and against the wind.

(2) The speed of the plane is the average of those two speeds.

(3) The speed of the wind is the difference between the speed of the plane from step (2) and either of the two speeds from step (1).

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
r, speed of plane without wind
w, speed of wind

system%28r%2Bw=1260%2F9%2Cr-w=1260%2F15%29

system%28r%2Bw=140%2Cr-w=84%29----------ready for very easy use of Elimination Method