First thing's first. Why are cyclists running?

Someone can correct me if I'm wrong, but I don't think the answer is among the solutions.

Basically, to meet at 200m from A, one person needs to run 200+500x meters, while the other person runs at 200+500y meters. So ratio of speeds needs to be something like 2/7, 7/12, 12/17, etc.

There is, however, another possibility of meeting at 300m from A (and since it's a circle, it's really still 200m from A). In this case, the ratio needs to be something like 3/8, 8/13, 13/18, etc.

From the given answer choices:

1:3, cyclists will first meet at 250m from A (after traveling 750m)

2:3, cyclists will first meet at 0m from A (after traveling 1500m)

3:5, cyclists will first meet at 250m from A (after traveling 1250m)

5:7, cyclists will first meet at 250m from A (after traveling 1750m)

7:11, cyclists will first meet at 375m from A (after traveling 1375m)

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