Question 986811

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 she walk?
<pre>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 = {{{(- 1.4)/(- 2)}}}, or .7 hr, or {{{highlight_green(42)}}} minutes
Time spent jogging = 1.2 - .7, or .5 hour, or {{{highlight_green(30)}}} minutes