How Many Times Do The Clock’s Hands Coincide In A Day?
By Jasreet Kaur18, Dec 2024 04:00 PMjagranjosh.com
Do you know?
The hands of a clock coincide 22 times in 24 hours, or 11 times in each 12-hour period. While it seems they meet every hour, the actual timing is slightly more complex. Tap to read in detail.
Basic calculation
The clock hands coincide 22 times in 24 hours, which means they coincide 11 times every 12 hours. This is because the minute hand catches up with the hour hand after completing a full rotation.
Explanation of coincidence
The minute hand and the hour hand coincide when the minute hand
Not every hour
The hands do not coincide exactly every hour; it’s a bit more complicated, so the pattern is not exactly one coincidence per hour. The intervals between coincidences are not equal due to the motion of the hour hand.
Pattern
The exact times the hands coincide are not spaced exactly 60 minutes apart, as the hour hand also moves during each cycle. The time between coincidences is approximately 65 minutes.
Calculation method
Each coincidence happens at intervals of approximately 65 minutes and 27 seconds between each. This small difference is why the hands do not coincide exactly on the hour each time.
Time intervals
The hands coincide at roughly 1:05, 2:10, 3:15, etc., but not always on the hour. The pattern is consistent, but the exact times vary slightly throughout the day.