Three bells ring at intervals of 6,8 and 20 minutes. They ring simultaneously at 8 am. At what time will they ring together
Answers
Step-by-step explanation:
The L.CM of 6,8,20 is= 120
120minutes =2 hours (8am+2)=10am answer✓✓✓✓
The bells will again ring together at 10 AM.
Given: The three bells ring at intervals of 6,8 and 20 minutes. They ring simultaneously at 8 am.
To Find: The time they will ring together.
Solution:
Whenever we are asked to find the time the bells will ring together, we need to find their LCM.
We are given times as 6 min, 8 min, and 20 min. So, the respective prime factorization is,
6 = 2 × 3
8 = 2 × 2 × 2
20 = 2 × 2 × 5
Hence, the LCM = 2 × 2 × 2 × 3 × 5
= 120 min
So, we understand that the bells will again ring together after 120 min.
We know that 120 min = 2 hrs and the bells simultaneously rang at 8 am,
So, they will again ring after = ( 8 + 2 ) AM = 10 AM
Hence, the bells will again ring together at 10 AM.
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