olymmath

RU-ALLRUSSIAN 1976 Problem 9

    There are three straight roads. On each road a man is walking at constant speed. At time t=0t = 0 , the three men are not collinear. Prove that they will be collinear for t>0t > 0 at most twice.

    Dataset text NuminaMath olympiads. Quoted with source.

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