SOLUTION: Carmen walks at a rate of 2 miles per hour and jogs at a rate of 4 miles per hour. She walked and jogged 3.4 miles in 1.2 hours. For how long did Carmen jog and for how long did

(Using subscripted variables for time numbers)

          rate      time     distance
WALK       2             
JOG        4             
Total               1.2       3.4

Let time she spent walking be T

Then time spent jogging = 1.2 - T

We can then say that: 2T + 4(1.2 - T) = 3.4

2T + 4.8 - 4T = 3.4

2T - 4T = 3.4 - 4.8 

- 2T = - 1.4

T, or time spent walking = , or .7 hr, or  minutes

Time spent jogging = 1.2 - .7, or .5 hour, or  minutes