SOLUTION: The speed of an airplane in still air is 248 mph. The plane travels 816 mi agains the wind and 1479 mi with the wind in a total time of 19 hr. What is the speed of the wind?

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Question 102560: The speed of an airplane in still air is 248 mph. The plane travels 816 mi agains the wind and 1479 mi with the wind in a total time of 19 hr. What is the speed of the wind?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
%28816+%2F+%28248+-+w%29%29+%2B+%281479+%2F+%28248+%2B+w%29%29+=+19
816%28248+%2B+w%29+%2B+1479%28248+-+w%29+=+19%28248+%2B+w%29%28248+-+w%29
202368+%2B+816w+%2B+366792+-+1479w+=+19%2861504+-+w%5E2%29
569160+-+663w+=+1168576+-+19w%5E2
19w%5E2+-+663w+-+599416+=+0
solve using
w+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
where ax%5E2+%2B+bx+%2B+c+=+0
a = 19
b = -663
c = -599416