SOLUTION: Carrie trained for 3 hours yesterday. She ran 24 miles and then biked 18 miles. Her biking speed is 6 mph faster than her running speed. What is her running speed?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Carrie trained for 3 hours yesterday. She ran 24 miles and then biked 18 miles. Her biking speed is 6 mph faster than her running speed. What is her running speed?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1164846: Carrie trained for 3 hours yesterday. She ran 24 miles and then biked 18 miles. Her biking speed is 6 mph faster than her running speed. What is her running speed?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
           SPEED       TIME        DISTANCE

RAN          r          24/r          24

BIKE        r+6        18/(r+6)       18

Total                    3

Solve for r, in equation 24%2Fr%2B18%2F%28r%2B6%29=3.


This example lets you multiply both sides by 1%2F3:

8%2Fr%2B6%2F%28r%2B6%29=1
and then multiply both sides by r%28r%2B6%29 (or the two steps could have been combined into one).
8%28r%2B6%29%2B6r=r%28r%2B6%29
and continue,
.
.