When You Overtake More Runners than You’re Overtaken by

Suppose you overtake 10 times as many runners as overtake you. What can you say about your speed relative to the other runners? For concreteness, suppose you’re looping around the Viveros Coyoacan, everyone is running in the same direction forever, and each person started at a random point. Under reasonable assumptions your relative frequency of passing runners will exaggerate your position in the…