Wednesday, September 15, 2010
32nd Canadian Mathematical Olympiad Problems 2000
32nd Canadian Mathematical Olympiad Problems 20001. Three runners start together and run around a track length 3L at different constant speeds, not necessarily in the same direction (so, for example, they may all run clockwise, or one may run clockwise). Show that there is a moment when any given runner is a distance L or more from both the other runners (where
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