SOLUTION: Ruth walks at the rate of r meters per minute and jogs at twice that rate. She walks for t minutes and then jogs for 20 minutes longer than she walks. How much distance has Ruth co

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Ruth walks at the rate of r meters per minute and jogs at twice that rate. She walks for t minutes and then jogs for 20 minutes longer than she walks. How much distance has Ruth co      Log On


   

Question 1000861: Ruth walks at the rate of r meters per minute and jogs at twice that rate. She walks for t minutes and then jogs for 20 minutes longer than she walks. How much distance has Ruth covered all together?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Arrange a data table. 
            rate          time         distance
WALK         r            t            rt
JOG          2r          t%2B1%2F3        2r%28t%2B1%2F3%29
Total                                  rt%2B2t%28t%2B1%2F3%29

20 minutes is the same as 1%2F3 of an hour.

Simplify the total distance expression.