A dog is located on the north bank of a river that is 2 miles wide. His home is located on thesouth bank of the river, 5 miles to the east of where he is located now. In order to make ithome, he will run on land to a point P located along the north bank of the river, and thenswim across the river to his home. If the dog runs at a speed of 9 mi/hr across land, andswims at 4 mi/hr across the river, where should P be located to minimize the amount of timeit takes for the dog to return home?

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