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.

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Travel -> 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.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

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.