Wednesday, May 16, 2007

BayWatch Part 2

From the previous episode on "Baywatch" (see previous post), you realise after you reach the swimmer at A, you realise there is another swimmer who is drowning at B. As a life guard, you can only bring the swimmer at A to shore at some point C so that he can be attended by paramedics, before you can swim towards B. This is illustrated by the diagram below.

Where should point C be in order for you to reach the other swimmer at B in the shortest length of time? Assume you swim at a constant speed throughout course of action.

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