Time is GOLD

Algebra Level 2

At what time after 12:00 noon will be the hour hand and minute hand of the clock first form an angle of 120˚

12:18.818 12:20.818 12:21.878 12:21.818

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1 solution

Ruslan Abdulgani
Jan 19, 2015

The speed of hour hand = 30ᵒ/h or 0.5ᵒ/min. The speed of minute hand = 360ᵒ/h or 6ᵒ/min. So the time after 12:00 is x + 12:00, where 6x – 0.5x = 120, so x= 21.818

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