SOLUTION: A runner decides to run out in the country. He begins to run at an average rate of 9 miles per hour. He runs a certain distance and then turns around and returns along the same rou

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: A runner decides to run out in the country. He begins to run at an average rate of 9 miles per hour. He runs a certain distance and then turns around and returns along the same rou      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 38480: A runner decides to run out in the country. He begins to run at an average rate of 9 miles per hour. He runs a certain distance and then turns around and returns along the same route at an average rate of 6 miles per hour. If the round trip took 2 and a half hours, how far did the runner travel before turning around?
Must be a page long solution! :-) thanks!

Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Leting x be the distance:
Equation:
x%2F9%2Bx%2F6=2
18%28x%2F9%29%2B18%28x%2F6%29=18%282%2F1%29
2x+3x=36
5x=36
x=7.2
Hence, he runs 7.2 miles.
Paul.