How often do you see your clock? Here’s a question related to your clocks, try and solve it.
I have an Analog clock (12 hour format) and both the needles of the clock overlap at 12:00.
After how much time roughly, will they overlap again?
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Answer: At 1:05.
In T hours, the minute hand completes T laps. In the same amount of time, the hour hand completes T/12 laps.
The first time the minute and hour hands overlap at 12:00, the minute hand would have completed 1 lap more than the hour hand. So we have T = T/12 + 1.
This implies that the first overlap happens after T = 12/11 hours (~1:05 am).