Answer: she jogs 2.75 miles.
She walks 2.25 miles
Step-by-step explanation:
Let x represent the distance that she jogs. If she walks and jogs a total of 5 miles, then the distance that she walks is (5 - x) miles.
When she jogs, she averages 5 miles/hour.
Time = distance/speed
The time that she spent jogging is
x/5
When she walks, she averages 3 miles per hour. The time that she spent walking is
(5 - x)/3
Since the total time that she spent jogging and walking is 1.3 hours, it means that
x/5 + (5 - x)/3 = 1.3
Cross multiplying by 15, it becomes
3x + 5(5 - x) = 1.3 × 15
3x + 25 - 5x = 19.5
5x - 3x = 25 - 19.5
2x = 5.5
x = 5.5/2
x = 2.75 miles
The distance that she walks is
5 - 2.75 = 2.25 miles
