Mathematics

Mathematics

Problem

A courier rides an electric scooter that can move at 15 km/h only along an east–west road. The destination is a building located 3 km north and 8 km east of the courier’s current position. After riding xx kilometers east on the road, the courier abandons the scooter and walks straight to the building at 5 km/h. Which value of xx (to the nearest tenth of a kilometer) minimizes the courier’s travel time? a) 9.1 km9.1\text{ km} b) 7.8 km7.8\text{ km} c) 6.9 km6.9\text{ km} d) 8.0 km8.0\text{ km}

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