Question 20748
Q: Fitness Fitness For 30 minutes you do a combination of walking and jogging. At the end of your workout your pedometer displays a total of 2.5 miles. You know that you walk 0.05 mile per minute and jog 0.1 mile per minute. For how much time were you walking? For how much time were you jogging? Use a verbal model to write and solve a system of linear equations.

Ans: Let Jogging Time be x minutes 
     so Walking Time is 30 - x Minutes

My Jogging Speed     = 0.1 mile/minute
so Distance i jogged = 0.1*x

My Walking Speed     = 0.05 mile/minute
so Distance i walked = 0.05*(30-x)

total distance covered = 2.5 Miles

So 0.1*x + 0.05*(30-x) = 2.5
   0.1x + 1.5 - 0.05x = 2.5
   0.05x = 2.5 - 1.5
   0.05x = 1
       x = 1/0.05
       x = 20

So the time i spent jooging = x = 20 Minutes
    and the time i spent walking = 30 - x = 10 Minutes


Kapil