SOLUTION: Against the wind a commercial airline in South America flew 450 miles in 3 hours. With a tailwind the return trip took 2.5 hours. What was the speed of the plane in the air? What w

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Question 141770This question is from textbook
: Against the wind a commercial airline in South America flew 450 miles in 3 hours. With a tailwind the return trip took 2.5 hours. What was the speed of the plane in the air? What was the speed of the wind?
Thank you! This question is from textbook

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
rate=distance/time

p-w=450/3 __ p-w=150

p+w=450/2.5 __ p+w=180

adding the two equations __ p-w+(p+w)=150+180 __ 2p=330 __ p=165

substituting __ (165)+w=180 __ w=15