SOLUTION: An airplane flew for 4.23 hours with a 25.5kph tailwind. The return flight against the same wind took 4.97 hours. Find the speed of the plane in still air.

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Question 76450This question is from textbook Algebra 1
: An airplane flew for 4.23 hours with a 25.5kph tailwind. The return flight against the same wind took 4.97 hours. Find the speed of the plane in still air. This question is from textbook Algebra 1

Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
SINCE DISTANCE=RATE*TIME & WE HAVE THE SAME DISTANCE GOING & RETURNING THE EQUATION IS:
4.23(X+25.5)=4.97(X-25.5)
4.23X+107.865=4.97X-126.735
4.23X-4.97X=-126.735-107.865
-.74X=-234.6
X=-234.6/-.74
X=317.03 KPH.