Marta jogs a certain distance and then walks a certain distance. When she jogs, she averages 5 miles/hour and when she walks she averages 3 miles per hour. If she walks and jogs a total of 5 miles in a total of 1.3 hours, how far does she jog and how far does she walk?

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