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?
1 answer:
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
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