A bell rings every 2 hours, a second bell rings every 3 hours, and a third bell rings every 4 hours. If all 3 bells ring at 9:00 AM. , at what time will all 3 bells next ring?
The LCM of 2, 3 and 4 is 12.
Therefore you must wait 12 hours, until 9:00 PM.
THERE WALL CLOCK ARE THE ROOM ALL THE CLOCK RINGING TOGETHER AT 6 OCLOCK IN THE MORNING AFTER THAT1ST CLOCK RINGS ONCE FOR EVERY 20 MINUTES & 2ND CLOCK RINGS ONCE FOR EVERY 30 MINUTES & 3RD CLOCK RINGS FOR EVERY 40MINUTES WHAT WOULD BE THE TIME AT WHICH ALL THE CLOCK RING TOGETHER FOR THE SECOND TIME.
WHAT IS THE FORMULA...& WHAT IS THE ANSWER..
8 o' clock
To find out when all three bells will next ring together, we need to find the least common multiple (LCM) of the three time intervals: 2 hours, 3 hours, and 4 hours.
One approach to finding the LCM is to list the multiples of each number and find the smallest number that appears in all three lists.
Multiples of 2 hours: 2, 4, 6, 8, 10, 12, ...
Multiples of 3 hours: 3, 6, 9, 12, 15, ...
Multiples of 4 hours: 4, 8, 12, 16, ...
From the lists, we can see that the first number that appears in all three lists is 12. Therefore, the LCM of 2, 3, and 4 is 12 hours.
Since the bells first rang at 9:00 AM, we need to add 12 hours to find when they will next ring together.
9:00 AM + 12 hours = 9:00 PM
Therefore, all three bells will next ring together at 9:00 PM.