We have a circular track where two runners leave the starting line at the same time. This track floor's color is white.
Runner A with certain speed 1 and runner B with speed π. (π being Archimedes' constant)
If we paint with purple the every white spot in which runner B reaches runner A, and paint with red the every purple spot in which runner B reaches runner A.... (so on and so forth without repeating any color).
How many colors will the track be composed of after an infinite amount of time has passed? (Accounting starting point will be painted purple the moment the race begins)
Please ask a staff about this, I'm still merely a random member