Question

six bells commence to ring together and toll at interval of 2,4,6,8,12 minutes respectively. In 30 hours how many times do they toll together.​

Answer 1

Answer:

75 times

Step-by-step explanation:

Let's get prime factors of the numbers representing intervals.

• 2
• 4=2*2
• 6=2*3
• 8=2*2*2
• 12=2*2*3

LCM(2,4,6,8,12)= 2*2*2*3=24 min

All six bells toll together every 24 mins

Now let's find the number of times in 30 hours:

Converting hours to minutes:

• 30 hour= 30*60 min= 1800 min

Dividing total time by 24 min intervals:

• 1800 min /24 min= 75 times

Answer is 75 times

Answer 2

Answer:

75 times

Let's get prime factors of the numbers

representing intervals.

2

.4-2*2

6-2'3

8-2 2 2

12-2 2*3

LCM(2,4,6,8,12)= 2*2*2*3-24 min

All six bells toll together every 24 mins

Now let's find the number of times in 30

hours:

Converting hours to minutes:

30 hour= 30"60 min= 1800 min

Dividing total time by 24 min intervals:

.1800 min /24 min= 75 times