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?

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