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KöMaL 2010 B4232

    Two sailboats are travelling in perpendicular directions on the lake Balaton at the same speed of 10 km/h. At a given time instant, while both are approaching the intersection of their paths, the respective distances of sailboats AA and BB are 1 km and 2 km from that point. A man travelling in boat AA wants to swim to boat BB . He swims at a uniform speed of 2 km/h. When should he jump in the water in order to minimise the time spent in the water?

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