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A girl standing at point P on a beach wi...

A girl standing at point P on a beach wishes to reach a point Q in the sea as quickly as possible. She can run at `6 km h^(-1)` on the beach and swim at `4 km h^(-1)` in the sea. She should take the path

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A man starting from point P cross a 4km wide lagoon and reaches point Q in the shortest possible time by the path shown in the figure. If the person swims at a speed of 3km//hr and walks at a speed of 4km//hr, then find his time fo journey (in minutes). .

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