How many times a day a clock's hands overlap?
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Answer / jr
22 times. (times given are approx) 1:05a 2:10a 3:15a 4:20a
5:25a 6:30a 7:35a 8:40a 9:45a 10:50a 12:midnight etc. Both
of the "eleven o'clock" overlaps never occur; they turn
into the "midnight" and "noon" overlaps. The hour hand
is "running away" from the minute hand.
| Is This Answer Correct ? | 175 Yes | 44 No |
Answer / samantha
all of ya r wrong the correct answer is 22 get it throu
ya's head OK
| Is This Answer Correct ? | 45 Yes | 15 No |
Answer / matt
The answer is 22.
Let's focus on the first 12 hours. In the first 12 hours,
the minute hand makes 12 laps around clock (obviously).
However, there's no intersection between 12:00 and 1:00
since the minute hand is faster than the hour hand. So
there's no intersection on first lap. That means in 12 hours
you have 11 intersections. Or 22 intersections in 24 hours.
For mathematically inclined, the exact formula for when the
intersection occurs is this (I ignore seconds here)
M = 60/11H
So the times are
1:05
2:11
3:16
4:22
5:27
6:33
7:38
8:44
9:49
10:55
12:00
| Is This Answer Correct ? | 27 Yes | 1 No |
Answer / eric
The answer is 22. First - midnight expressed in 24 hour format is 0000. Not 12:00. And you can't count midnight twice. A day ends at 23:59:59. So..... in 24 hour format the overlap times are:
0000
0105
0210
0315
0420
0525
0630
0735
0840
0945
1050
1200
1305
1410
1515
1620
1725
1830
1935
2040
2145
2250
That's 22 overlaps.
| Is This Answer Correct ? | 13 Yes | 4 No |
Answer / nikita dewolf
Some answers are so complicated. Why? Eric's answer is
good and simple. For the "special ed" kids - Another way
to understand is by ask the question ...
Q. How often do the hour and minute hands line up on a
clock?
A. Every hour and five minutes, (also known as 65 minutes)
They begin at 12, but by the time the minute hand goes
around once and gets back to the 12, the hour hand moved to
the 1, thus taking an additional five minutes to reach it.
Q. How many times a day does a clock's hands overlap?
A. 22 times each day.
One day is 24 hours.
1 Hour is 60 minutes. 60 x 24 = 1440
That means there are 1440 Minutes in every 24 hour/day.
The hands lap every 65 minutes.
65 / 1440 = 22 (22.15 exactly)
| Is This Answer Correct ? | 9 Yes | 1 No |
Answer / little brig
It is obviously 22hrs in a clocks overlapping period 🕛🕧🕐🕜🕑🕝🕒🕞🕓🕟🕔🕠🕕🕡🕖🕢🕗🕣🕘🕤🕙🕥🕚🕦
| Is This Answer Correct ? | 0 Yes | 0 No |
Answer / venkat
The answer is twenty-three.
Most people quickly realize that the answer has to be
twenty-four, give or take. The issue is nailing down
that "give or take" part. Recognize, first of all, that
there is nothing capricious about the overlaps. Both hands
move at fixed speeds.
Therefore, the time interval between overlaps is a
constant. This constant interval is a little more than an
hour. At midnight, the hour and minute hands are exactly
superimposed. It takes an hour for the minute hand to make
a complete circuit In that same time, the hour hand has
moved 1/12 of a circuit to the numeral 1. It then takes
another five minutes for the minute hand to catch up to
where the hour hand was, in which time the hour hand has
crept a bit farther.... Before getting sucked into a Zeno's
Paradox, let's settle for the moment by saying that the
interval is a little more than sixty-five minutes. We also
know that the exact interval has to divide evenly into
twenty-four hours, since the day ends as it started, with
both hands up and overlapping. In fact, it has to divide
evenly into twelve hours. The way the hands move in the
P.M. is an exact replay of the way they move in the A.M.
Focus on the twelve-hour period from midnight to noon. The
hands cannot overlap twelve times in that period, for if
they did, it would mean that the interval between overlaps
was 12/12, or exactly one hour — and we know it's a bit
more than sixty-five minutes. No, there must be eleven
overlaps in a twelve-hour period. That means the interval
between overlaps is 12/11 hour, which comes to 65.45
minutes. This must be the precise interval that we balked
at calculating a moment ago. Doubling eleven gives twenty-
two overlaps in a twenty four- hour period. Twenty-two is
the answer — unless you want to split hairs. Should you
count the overlap at the midnight that begins the day, and
also at the midnight that ends the day, the answer is
twenty-three.
| Is This Answer Correct ? | 43 Yes | 52 No |
Answer / pat
yous are all Einsteins in practical terms it happens every
minute get it.
| Is This Answer Correct ? | 0 Yes | 9 No |
Answer / hadeel ash
24 times..
0000
0105
0210
0315
0420
0525
0630
0735
0840
0945
1050
1155
1200
1305
1410
1515
1620
1725
1830
1935
2040
2145
2250
2355
Note that 1 Day: 23:59:59
| Is This Answer Correct ? | 2 Yes | 14 No |
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