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KöMaL 2017 C1434

    In a running race organized in Munich, the participants started simultaneously and ran along a set path. 30 minutes after the start of the race, a car set out from the starting line and followed the runners at uniform speed. For each participant, the race terminated whenever the car caught up with him or her. The female winner was overtaken by the car at 68 km, and the male winner was overtaken at 92 km, 1 hour and 36 minutes later. Assuming that they also ran at uniform speed, what were the speeds of the two winners, and what was the speed of the car?

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