Determine the angular speed of the hour and minute hands of a clock (of course, with hands

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Determine the angular speed of the hour and minute hands of a clock (of course, with hands and not digital!). If at 3:00 (a.m. or p.m.) the angle between the hour hand and minute hand form an angle of \(90^{\circ}\), calculate after how long the hands are exactly overlapping.

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