SOLUTION: a runner decides to run out int he 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 ro

Algebra ->  Equations -> SOLUTION: a runner decides to run out int he 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 ro      Log On


   



Question 37901: a runner decides to run out int he 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?
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Let the distance be x:
Equation:
x%2F9%2Bx%2F6=2.5
Mutliply the whole equation by 18
18%28x%2F9%29%2B18%28x%2F6%29=18%282.5%2F1%29
2x+3x=45
x=9
or you can do it like this:
9t=6(2.5-t)
t=1
9(1)=9
Hence, the runner runs 9 miles.
Paul.