Mathematics

Mathematics

Problem

A swimmer starts at point A on a straight beach and wants to reach a buoy located 50 m offshore and 80 m down the shoreline from A. The swimmer can run along the beach at 6 m/s and swim at 2 m/s. Let xx be the distance (in meters) the swimmer runs along the beach before entering the water (0≤x≤800\le x\le80). Which value of xx gives the least possible travel time? a) 18 m b) 80 m c) 62 m d) 55 m

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