Mathematics

Mathematics

Problem

A fire engine is located at point A on a straight east-west road. A warehouse that has caught fire is located 4 miles east of A and 1 mile north of the road. The engine can travel at 48 mi/h on the road and 20 mi/h across the open field. It will leave the road at a point that is xx miles east of A (0≤x≤40\le x\le4) and then drive straight to the warehouse. What is the least possible travel time? a) 9.2 minutes9.2\text{ minutes} b) 7.7 minutes7.7\text{ minutes} c) 6.5 minutes6.5\text{ minutes} d) 12.4 minutes12.4\text{ minutes}

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