William is staying in a cottage along a beautiful and straight shoreline. A point Q on the shoreline is located 3 kilometers east of the cottage, and an island is located 2 kilometers north of Q (see image below). William plans to travel from the cottage to the island by some combination of walking and swimming. He can start to swim at any point P between the cottage and the point Q. If he walks at a rate of 7 km/hr and swims at a rate of 5 km/hr, what is the minimum possible time it will take William to reach the island? Enter an exact answer or round to the nearest hundredth of an hour.