Clock hands meet after 4:52

Enter Time on the Clock

Calculate the next time the hands of a clock meet after 4:52
Clock hands meet 11 times in a 12 hour span.
To do this, we count from 0 to 10 below:

n = 0

t =	12 x 0
	11

t =	0
	11

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 =	12 x 1
	11

t =	12
	11

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 =	12 x 2
	11

t =	24
	11

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 =	12 x 3
	11

t =	36
	11

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 =	12 x 4
	11

t =	48
	11

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 =	12 x 5
	11

t =	60
	11

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

What is the 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

clock hands meet at 4:52

Clock Hands Meet Calculator Video

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