Alice is staying in a cottage along a beautiful and straight shoreline. A point on the shoreline is located 3 kilometers east of the cottage, and an island is located 2 kilometers north of Q (see image below). Alice 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 7 km/hr and swims at a rate of 4 km/hr, what is the minimum possible time it will take Alice to reach the island? Enter an exact answer or round to the nearest hundredth of an hour. Provide your answer below: hours Cottage Shoreline 3 km Island Water 2 km

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