## Enter Time on the Clock

Calculate the next time the hands of a clock meet after

4:

52Clock hands meet 11 times in a 12 hour span.

To do this, we count from 0 to 10 below:

## n = 0

t = 0

## Hour Portion for t = 0

Use the hour as a whole number

Hour portion = 0

## Minutes Portion for t = 0

Minutes Portion = 60(0 - 0)

Minutes Portion = 60(0)

Minutes Portion = 0

## Seconds Portion for t = 0

Seconds Portion = 60(0 - 0)

Seconds Portion = 60(0)

Seconds Portion = 0

## Meet Time

The clock hands meet again at 12:00:00

## n = 1

t = 1.0909090909091

## Hour Portion for t = 1.0909090909091

Use the hour as a whole number

Hour portion = 1

## Minutes Portion for t = 1.0909090909091

Minutes Portion = 60(1.0909090909091 - 1)

Minutes Portion = 60(0.090909090909091)

Minutes Portion = 5.4545454545454

## Seconds Portion for t = 1.0909090909091

Seconds Portion = 60(5.4545454545454 - 5)

Seconds Portion = 60(0.45454545454545)

Seconds Portion = 27

## Meet Time

The clock hands meet again at 1:05:27

## n = 2

t = 2.1818181818182

## Hour Portion for t = 2.1818181818182

Use the hour as a whole number

Hour portion = 2

## Minutes Portion for t = 2.1818181818182

Minutes Portion = 60(2.1818181818182 - 2)

Minutes Portion = 60(0.18181818181818)

Minutes Portion = 10.909090909091

## Seconds Portion for t = 2.1818181818182

Seconds Portion = 60(10.909090909091 - 10)

Seconds Portion = 60(0.9090909090909)

Seconds Portion = 54

## Meet Time

The clock hands meet again at 2:10:54

## n = 3

t = 3.2727272727273

## Hour Portion for t = 3.2727272727273

Use the hour as a whole number

Hour portion = 3

## Minutes Portion for t = 3.2727272727273

Minutes Portion = 60(3.2727272727273 - 3)

Minutes Portion = 60(0.27272727272727)

Minutes Portion = 16.363636363636

## Seconds Portion for t = 3.2727272727273

Seconds Portion = 60(16.363636363636 - 16)

Seconds Portion = 60(0.36363636363637)

Seconds Portion = 21

## Meet Time

The clock hands meet again at 3:16:21

## n = 4

t = 4.3636363636364

## Hour Portion for t = 4.3636363636364

Use the hour as a whole number

Hour portion = 4

## Minutes Portion for t = 4.3636363636364

Minutes Portion = 60(4.3636363636364 - 4)

Minutes Portion = 60(0.36363636363636)

Minutes Portion = 21.818181818182

## Seconds Portion for t = 4.3636363636364

Seconds Portion = 60(21.818181818182 - 21)

Seconds Portion = 60(0.8181818181818)

Seconds Portion = 49

## Meet Time

The clock hands meet again at 4:21:49

## n = 5

t = 5.4545454545455

## Hour Portion for t = 5.4545454545455

Use the hour as a whole number

Hour portion = 5

## Minutes Portion for t = 5.4545454545455

Minutes Portion = 60(5.4545454545455 - 5)

Minutes Portion = 60(0.45454545454545)

Minutes Portion = 27.272727272727

## Seconds Portion for t = 5.4545454545455

Seconds Portion = 60(27.272727272727 - 27)

Seconds Portion = 60(0.27272727272725)

Seconds Portion = 16

## Meet Time

The clock hands meet again at 5:27:16

## Final Answer

5:27:16

### How does the Clock Hands Meet Calculator work?

Free Clock Hands Meet Calculator - Calculates the first time on a clock when the hands will meet or touch again.

This calculator has 1 input.

### What 1 formula is used for the Clock Hands Meet Calculator?

From t = 0 to 11, (12 x t) / 11

For more math formulas, check out our

Formula Dossier
### What 3 concepts are covered in the Clock Hands Meet Calculator?

- clock hands meet
- Calculates the first time on a clock when the hands will meet or touch again
- hour
- Unit of time equal to 60 minutes
- minute
- Unit of time equal to 60 seconds

### Example calculations for the Clock Hands Meet Calculator

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