13. (12 points) Person A and Person B start from point A, heading to point B. When A has walked 100 meters, B has walked 50 meters. When A reaches point B, B is still 100 meters away from point B. After A reaches point B, A immediately turns back, and the two meet 60 meters away from point B. Therefore, the distance between A and B ( ) meters.
A. 150
B. 200
C. 250
D. 300
【Solution】Solution:
When it is the last 100, Jia walks 60 meters, and Yi walks 40 meters, the speed ratio of the two is 3:2.
The distance difference between segment $CE$ and segment $DB$ is 50 meters, and the distance ratio is 3:2.
Assuming Jia walks 3 portions of the distance on segment $DB$, and Yi walks 2 portions of the distance on segment $CE$, then $50 \div (3-2) = 50$ meters. Jia's 3 portions of the distance is $50 \times 3 = 150$ meters,
The distance between $A$ and $B$ $= AD + DB = 150 + 100 = 250$ meters. Therefore, the answer is: $C$.