How many times do the hands of a clock coincide in a day?

Times Hands of a Clock Coincide in a Day

22 times the hands of a clock coincide in a day. One might think the hands of a clock coincide every 60 minutes, however, in reality, they coincide every 65 minutes. Considering this, they coincide 11 times every 12 hours. This means that the hands of a clock coincide 22 times in a day which consists of 24 hours.

Considering the movement of the minute hand and the hour hand, the exact times at which the clock coincides twice a day, i.e. in am and pm include the following: 12:00, 1:05, 2:11, 3:16, 4:22, 5:27, 6:32, 7:38, 8:44, 9:49, 10:55. 

Steps To Calculate How Many Times Hands of a Clock Coincide in a Day

Another way to find out the number of times the hands of a clock coincide in a day is to calculate it mathematically. As we have established above, the hands of a clock coincide every 65 minutes. This is approximate, taking which we can calculate the number of times minute and hour hands will coincide.

There are 24 hours in a day. Each hour has 60 minutes. Thus, in a day there are a total of 1440 minutes

Considering the hands of a clock coincide every 65 minutes, we will get this equation:

=1440/65

=22.15

Rounding this figure off, we get 22.

Thus, the number of times the hands of a clock will coincide is 22.

Summary

How many times do the hands of a clock coincide in a day?

The number of times the hands of a clock coincide in a day are 22. The minute hand and hour hand of a clock convince approximately every 65 minutes. The am and pm times at which they coincide include the times, 12:00, 1:05, 2:11, 3:16, 4:22, 5:27, 6:32, 7:38, 8:44, 9:49, and 10:55.

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