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Two cyclists start out on the same trail together that is overall 20km long. The first cyclist completes the entire trail and is traveling at a constant 20km/hr for the away part of the trip and then only 15 km/hr for the return trip. The second cyclist, who is slower, is moving along at a constant 10 km/hr for the entire trip. The second cyclist wants to turn around at the same point so that he will arrive back at the starting position at the same time that the first cyclist will arrive. At what point along the path should he do that?
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