Four Travelers Problem
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|Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny|
|Four roads on a plane, each a straight line, are oriented so that no two are parallel and no three pass through the same point. A traveler walks along each road at a constant speed. The speeds, however, may not be the same. Traveler 1 meets Travelers 2, 3, and 4; Traveler 2 meets Travelers 1, 3, and 4. Show that Travelers 3 and 4 also meet.|
|Levels:||High School (9-12), College|
|Math Topics:||Graph Theory|
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