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After a rescue he is driving a jeep through the desert trying to get to a power plant, where a band of fireworks are set to explode at 1:15 p.m. It is already noon and he is 32 kilometers from the nearest point on a paved straight road . The power plant is 30 kilometers down the road from that point. The jeep can only maintain a speed of 38 kn/hr in the sand, but can travel 80 km/hr on paved road. How far from the power plant should he connect with the paved road in order to have the shortest travel time to the plant? If he arrives at the power plant in the shortest time possible, how much tim
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will he have to disarm the fireworks?
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