Renee is staying in a cottage along a beautiful and straight shoreline. Walking 3 kilometers east of the cottage an island can be seen 2 kilometers due north from that point on the shoreline (see image below). Renee 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 3 km/hr and swims at a rate of 2 km/hr, what is the minimum possible time it will take Renee to reach the island? (You may enter an exact answer or round to the nearest hundredth of an hour.) Island Cottage Shoreline 3 km Water 2 km