Question

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?

Answer 1

Rate in walk = 2 miles/hr
Distance by walk = x

Rate in jog = 4 miles/hr
Distance by jog = y

Total distance = 3.4
Total time = 1.2 hours

x + y = 3.4

x/2 + y/4 = 1.2
if we multiply by 4
2x + y = 4.8

Subtract both equations
x = 1.4 miles
y = 2 miles

walking time = 1.4/2
                     = 0.7 hour
walking distance = 1.4 miles

jogging time = 2/4
                     = 0.5 hour
jogging distance = 2 miles