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03-05-2024
Mathematics

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Jamie is staying in a cottage along a beautiful and straight shoreline. A point Q on the shoreline is located 4 kilometers east of the cottage, and an island is located 2 kilometers north of Q (see image below). Jamie plans to travel from the cottage to the island by some combination of walking and swimming. She can start to swim at any point P between the cottage and the point Q . If she walks at a rate of 5 km/hr and swims at a rate of 2 km/hr , what is the minimum possible time it will take Jamie to reach the island

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