a bell rings er=very 2hours,a srcond bell rings every 3 hours,and a third bell ring every 4 hours.if all bells ring at 9:00a.m.,whst time will the next 3 bells ring?
a)10:00p.m
b)6:00p.m.
c)9:00 p.m.
d)noon
e)not enought information
What number can you divide evenly by 2, 3, and 4?
Add that number to 9:00 a.m. to find the next time that all three bells will ring at the same time.
We'll be glad to check your answer.
thank you
To find out when the next three bells will ring, we need to find the least common multiple (LCM) of the time intervals for each bell.
The first bell rings every 2 hours, the second bell rings every 3 hours, and the third bell rings every 4 hours.
First, let's find the LCM of 2, 3, and 4:
Prime factorization of 2: 2
Prime factorization of 3: 3
Prime factorization of 4: 2 * 2
Now we take the highest powers of each prime factor: 2^2 * 3 = 12
So, the LCM of 2, 3, and 4 is 12 hours.
Since all the bells rang at 9:00 a.m., the next three bells will ring at intervals of 12 hours from that time. Therefore, the next three bells will ring at:
1st bell: 9:00 a.m. + 12 hours = 9:00 p.m.
2nd bell: 9:00 p.m. + 12 hours = 9:00 a.m. (next day)
3rd bell: 9:00 a.m. (next day) + 12 hours = 9:00 p.m. (next day)
So, the answer is option C) 9:00 p.m.