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MathNet 2019-part-02 — 184 problems (EN–VI) Question 81

Math Olympiad Vault · MathNet 2019-part-02 — 184 problems (EN–VI)

Question 81

Ana and Vanja are standing together next to a railway, waiting for the train to pass. The train drives at constant speed. At the moment the front end of the train passes them, Ana starts walking at constant speed in the same direction as the train is going, and Vanja starts walking at the same speed in the opposite direction. Each of them stops at the moment the rear end of the train passes her. In total, Ana walked 45 metres and Vanja walked 30 metres. How long is the train? (Portugal 2006)