Tuesday, July 12, 2011

Optimization question?

A lifeguard spots a swimmer in distress 400m off shore. The lifeguard is 1100m down shore from a position that is perpendicular to the swimmer and the shore. If he can run at 5m/s and swim at 3m/s, where should he enter the water to reach the swimmer and the shore. If he can run at 5m/s and swim at 3m/s, where should he enter the water to reach the swimmer the quickest?

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