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Justin must travel from Summersville to Clayton. He can drive 15 mi through the mountains at 45 mph. Or he can drive east and then north on
superhighways at 70 mph. The alternative route forms a right angle as shown in the diagram. The eastern leg is 3 mi less than the northern leg.
(a) Find the total distance Justin would travel in going the alternative route.
(b) If Justin wants to minimize the time of the trip, which route should he take?
Clayton
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15 mi
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