Q: How many times do the minute hand and the hour hand overlap?

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Twenty-four times of course !

60 mins in 1 hour

24, or 48 if u count when they overlap

Disregarding the second hand (for a few seconds), the hour and minute hands overlap (point in the same direction) 22 times in a 24 hour period. It happens once after every hour except the 12 o'clock hour. After 12 o'clock, the next occurance is after 1 o'clock. The fractions of a minute required for these overlaps do not always coincide with the number of seconds that the second hand would have to register in order for the second hand to 'join' the hour and minute hands. The only times that all three hands are perfectly overlapping (pointing in the same direction) is at 12 midnight and 12 noon. So the second minute and hour hands are in the exact same place only twice during every 24 hour period. The hour and minute hands join each other every 65.454545 minutes, or 32.727272 degrees. The minute hand advances 163.636363 degrees each time the hour and minute hands overlap.

The minute hand will cross over the hour hand once every hour. So in 12 hours, the answer is 12 times.

Related questions

Twenty-four times of course !

60 mins in 1 hour

24, or 48 if u count when they overlap

Disregarding the second hand (for a few seconds), the hour and minute hands overlap (point in the same direction) 22 times in a 24 hour period. It happens once after every hour except the 12 o'clock hour. After 12 o'clock, the next occurance is after 1 o'clock. The fractions of a minute required for these overlaps do not always coincide with the number of seconds that the second hand would have to register in order for the second hand to 'join' the hour and minute hands. The only times that all three hands are perfectly overlapping (pointing in the same direction) is at 12 midnight and 12 noon. So the second minute and hour hands are in the exact same place only twice during every 24 hour period. The hour and minute hands join each other every 65.454545 minutes, or 32.727272 degrees. The minute hand advances 163.636363 degrees each time the hour and minute hands overlap.

The minute hand will cross over the hour hand once every hour. So in 12 hours, the answer is 12 times.

Once

22 times. hour hand meets minute hand each hour. Example : they meet at about 1h6, 2h17,... ( it's not exactly). But the 11th hour, they don't meet any times. So in a round of hour hand, it meets minute hand only 11 times and 22 times in a day

youre mom

3:00 or 9:00

12

It could be four times per day: 9 AM, 9 PM, 3 AM, and 3 PM. Note: The question as stated is false and would likely cause controversy if it was on an important exam. The question should be "If the minute hand is pointing to the twelve and the hour hand is perpendicular to the minute hand, what times could it be?"

The hands do not overlap between 11 to 12, so only 22 overlaps per day. --------------------------------- 1 of 2: Cjcarr2000 answer: --------------------------------- It occurs 12 times a day Overlap Time = Hour : (Hour * 5) 12:00, 1:05, 2:10, 3:15, 4:20, etc. --------------------------------- 2 of 2: Stormnoone answer: --------------------------------- It occurs 22 times a day. (as Digbybare said, and not 24 as i was said at first) Exact times = Hour : ( Hour * 65 / 12 ) that is, when it is "1:05", the hour hand has moved from '1' to '2' (that total distance is 5 minutes) as the minute hand has moved from '12' to '1' (that is exactly 5 minutes, or Hour * 5); so the Hour hand must has moved "Hour / 12" of the 5 minutes: = Hour : [ (Hour * 5) + (Hour / 12) * 5 ] = Hour : [ (Hour * 5) + (Hour * 5) / 12 ] => we take out the common (Hour * 5) = Hour : [ (Hour * 5) * (1 + 1/12) ] = Hour : [ (Hour * 5) * 13/12 ] = Hour : (Hour * 65/12). ------------------------- So the Successive exact time should be 1 : ~5.4 2 : ~10.8 3 : 16.25 4 : ~21.67 5 : ~27.08 6 : 32.5 ......,and so on.