It is noon, and the spy is back from space and driving a jeep through the sandy desert in the tiny principality of Alta Loma. He is 32 kilometers from the nearest point on a straight paved road. Down the road 16 kilometers is a power plant in which a band of international terrorists has placed a time bomb set to explode at 12:50 pm. The jeep can travel 48km/hr in the sand and 80 km/hr on the paved road. If he arrives at the power plant in the shortest possible time, how long will our hero have to defuse the bomb?