jennifer walks 8 miles in the same time she can jog 13 miles. if her jogging speed is 8mph faster than her walking speed, how fast does she walk?

12.8mph

Step-by-step explanation:

Let 'w' represent her walking speed

->if her jogging speed is 8mph faster than her walking speed

Jogging speed = w+8

Using the time equation i. e time = dist/speed

For walking when distance is 8miles

time = dist / speed = 8/w hrs

For jogging when distance is 13miles

time = dist / speed = 13 / (w+8) hrs

Equating the time

jog time = walk time

13 / (w+8) = 8/w

By cross multiplying it

13w = 8w + 64

5w = 64

w=64/5

w=12.8mph

Therefore, 12.8mph is her walking speed.