How many times do the hands of a clock overlap in a 12-hour period?

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Question: How many times do the hands of a clock overlap in a 12-hour period?

Options:

Correct Answer: 11 times

Solution:

The hands of a clock overlap 11 times in a 12-hour period.

How many times do the hands of a clock overlap in a 12-hour period?

How many times do the hands of a clock overlap in a 12-hour period?

Step 1: Understand that a clock has two hands: the hour hand and the minute hand.
Step 2: Know that the hour hand moves slowly and the minute hand moves quickly.
Step 3: Realize that the hands of the clock overlap when they are on top of each other.
Step 4: In one hour, the minute hand completes a full circle (60 minutes) while the hour hand moves a little.
Step 5: The hands overlap approximately every 65 minutes, but they do not overlap exactly at the start of each hour.
Step 6: Count the overlaps: from 12:00 to 1:00, they overlap once, then again from 1:00 to 2:00, and so on.
Step 7: Continue counting until you reach 12:00 again, which gives you a total of 11 overlaps in 12 hours.

Clock Mechanics – Understanding how the minute and hour hands of a clock move and interact.
Time Calculation – Calculating the frequency of events (overlaps) within a given time frame.