What is the time when the hour hand is at 12 and the minute hand is at 12?

The large hand on a clock that points to the minutes.

It goes once around the clock every 60 minutes (one hour).

Example: in the clock on the left, the minute hand is just past the "4", and if you count the little marks from "12" it shows that it is 22 minutes past the hour.

(The small hand is the "hour hand" and it is just past 8, so it is 22 past 8.)

By the time the minute hand has gone all the way round the clock and is back at 12, one hour later (i.e., at 1 o'clock), the hour hand has moved to 1. Five minutes later, the minute hand reaches 1, but they don't quite meet there because the hour hand would have moved 1/12 of the distance between 1 and 2, to indicate 5 minutes past 1. So the next time after 12 that the minute hand is directly over the hour hand is a bit after 1:05 (we'll calculate the exact time a bit later).

Similarly, the next time it happens is a bit after 2:10. Then a bit after 3:15, and so on.

Note that each time they meet, the number of minutes past the hour keeps increasing, so the hour hand would have moved closer to the next number. After 11 o'clock, the minute hand has to travel all the way and by the time they meet it is has to be 12 o'clock again, since we know what the clock looks like at that time. So the two hands overlap 11 times in a 12 hour period. So, in a 24 hour period, they would overlap 22 times.

To answer the second part of the question, let's try to figure out the little bit of extra time the minute hand needs to catch up to the hour hand after every 1:05 hours. Well, after 12 o'clock there are eleven occasions when the two hands match up, and since the clock hands move at constant speeds, those 11 events are spread equally apart around the clock face, so they are 1/11th of an hour apart. That's 5.454545 minutes apart. In other words they meet every after every 1 hour and 5.454545 minutes.

The precise times they overlap (in hours) would be 1 + 1/11, 2 + 2/11, 3+ 3/11, all the way up to 11 + 11/11, which is 12 o'clock again.

Q. An analog clock is showing 2 o'clock right now. At what time will the hour and minute hands overlap next?

Q. What is the angle between the hour and minute hands at 4:10?

The clock has two hands. The face of a clock is called the dial. The dial is marked with numbers from 1 to 12. The small hand is the hour hand. It shows time in hours. The longer hand is the minute hand. It shows time in minutes.

At 1 o'clock, the hour hand is at 1 and minute hand is at 12. It moves to next number 2 after one hour.

Hour hand takes 12 hours to complete one round.

The minute hand takes 5 minutes to move from one number to the next number in the clock.

The minute hand takes 60 minutes to complete one round on the clock.

How to read a watch or a clock?

The three figures will help us to read a watch or a clock.

Hour hand indicates hours and Minute-hand indicates minutes.

In figure (i) hour-hand is indicating number 1 or just after 1. So, we read it as 1 hour. The minute hand indicates 4 divisions after the number 3, i.e., 3 x 5 + 4 = 19, or 19 divisions from 12. So we read it as 19 minutes.

The watch indicates that the time is 1 hour 19 minutes.

We may express it as 1 : 19.

We may say it is 19 minutes past 1.

At or after the number that the hour-hand indicates, the number expresses the hour.

At or after the number that the minute-hand indicates, the number multiplied by 5 and number of divisions after the number, express the minutes. If minute hand indicates 3 divisions after number 7, then minutes is 7 x 5 + 3 = 38 minutes.

In figure (ii) hour hand is between 3 and 4. So, we say it is 3 hours. The minute hand is 2 divisions after number 8. So, minute is 8 x 5 + 2 = 42 minutes.

The time is 3 hours 42 minutes.

We may write it as 3 : 42.

We may say it is 42 minutes past 3,

or, (60 - 42 = 18 minutes) 18 minutes to 4.

In figure (iii) expresses 8 : 35 or 35 minutes past 8 or, ( 60 - 35 = 25 minutes) 25 minutes to 9.

Read the time shown in these clocks.

20 minutes past 2

2 : 20

25 minutes to 6 or 35 minutes past 5

5 : 35

Quarter past 10 or 15 minutes past 10

10 : 15

Quarter to 5 or 45 minutes past 4

4 : 45

Reading Time to the Minute:

The clock has numbers from 1 to 12 marked on its dial. These numbers divide the clock face into 12 equal parts. Between any two numbers there are 5 small divisions. Each small division represents a minute. So, there are 60 divisions on the dial. The minute hand completes 1 round of the dial in 60 minutes.

Look at the given clock here, the minute hand points to 3 divisions after number 5. It shows that the minute hand has moved 5 × 5 + 3 or 28 minutes. So, the time shown in the given clock is 28 minutes past 3.

For Example:

Write the time shown on the given clock.

The hour hand is between 5 and 6

The minute hand is on the second small division after 8.

So, the minute hand has moved 5 × 8 + 2 = 42 minutes.

The time is 42 minutes past 5.

It is written as 5:42

Reading Time to the Second:

The thin and very long hand on the clock shows the time in seconds. This is called second hand. The second hand moves very fast. The second hand takes only 1 minute to complete 1 round of the dial. The second hand takes 5 seconds to go from one number to the next. If the second hand is at number 4. It means that 4 × 5 or 20 seconds have passed. So, 5 × 12 = 60 seconds 1 minute = 60 seconds.

Read the time in the following picture. Find out at what time Richard wakes up in the morning.

The hour hand is at 7

The minute hand is at 12

The time is 7 o'clock.

When the minute hand is at 12. We say o'clock.

1 hour = 60 minutes.

Questions and Answers on Read a Watch or a Clock:

I. Circle the a.m. or p.m. as per the given clocks:

(i)

(ii)

8 Minutes Past in the Morning

(iii)

Quarter to 6 in the Evening

12:47 in the Afternoon

(iv)

Jogging at 5 O'clock in the Morning

Answers:

I. (i) a.m.

(ii) p.m.

(iii) p.m.

(iv) a.m.

II. How do you say 10:30 in words?

(i) Half past 30

(ii) Half past 10

(iii) Quarter to 10

(iv) Quarter past 10

Answers:

II. (ii) Half past 10

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