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?
How does the Clock Hands Meet Calculator work?
This calculator has 1 input.
What 1 formula is used for the Clock Hands Meet Calculator?
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
