On a circular track, Alphonse is at point $A$ and Beryl is diametrically opposite at point $B$. Alphonse runs counterclockwise and Beryl runs clockwise. They run at constant, but different, speeds. After running for a while they notice that when they pass each other it is always at the same three places on the track. What is the ratio of their speeds?
(A) $3: 2$
(B) $3: 1$
(C) $4: 1$
(D) $2: 1$
(E) $5: 2$

![](https://cdn.mathpix.com/cropped/2024_04_20_46ead6524a8d61e21c51g-078.jpg?height=383&width=268&top_left_y=1863&top_left_x=1297)