SOLUTION: A plane traveling at 450 mph can go 1000 miles with the wind in 1/2 hour less than than against the wind - find wind speed?

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Question 444837: A plane traveling at 450 mph can go 1000 miles with the wind in 1/2 hour less than than against the wind - find wind speed?
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
1000/(450+w)+1/2=1000/(450-w)
2000/(450+w)+1=2000/(450-w)
2000(450-w)+202500-w2=2000(450+w)
900000-2000w-w2+202500=900000+2000w
w2+4000w-202500=0
(w+4050)(w-50)=0
w=50 or -4050
Throwing out the negative answer, we get the speed of the wind to be 50 mph..