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A swimmer at S in the figure below develops a leg cramp while swimming near the...

A swimmer at S in the figure below develops a leg cramp while swimming near the shore of a calm lake and calls for help. A lifeguard at L hears the call. The lifeguard can run 9 m/s and swim 3 m/s. He knows physics and chooses a path that will take the least time to reach the swimmer. Which of the paths shown in the figure does he take?

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Answer #1

Path LDS is the best path for him to take. It's the most time efficient given how fast he can swim and how fast he can run.

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