If a clock shows 12:00, how many times will the minute hand overlap the hour han

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Question: If a clock shows 12:00, how many times will the minute hand overlap the hour hand in 12 hours?

Options:

Correct Answer: 11

Solution:

In 12 hours, the minute hand overlaps the hour hand 11 times.

If a clock shows 12:00, how many times will the minute hand overlap the hour hand in 12 hours?

If a clock shows 12:00, how many times will the minute hand overlap the hour hand in 12 hours?

Step 1: Understand that a clock has two hands: the hour hand and the minute hand.
Step 2: The minute hand moves faster than the hour hand.
Step 3: In one hour, the minute hand completes a full circle (360 degrees) while the hour hand moves only 30 degrees.
Step 4: The minute hand will catch up to the hour hand multiple times in 12 hours.
Step 5: Calculate how many times the minute hand overlaps the hour hand in one full cycle of 12 hours.
Step 6: The minute hand overlaps the hour hand 11 times in 12 hours.

Clock Arithmetic – Understanding the movement of the hour and minute hands on a clock and how they interact over time.
Overlap Calculation – Calculating the frequency of overlaps between the hour and minute hands based on their speeds.