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Three bells ring at an interval of 10min, 15min,and 30 min.They were ring together at 8:00p.m.When will they ring together again?
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Three bells ring at an interval of 10min, 15min,and 30 min.They were r...
Analysis:
The time intervals at which the three bells ring are 10 minutes, 15 minutes, and 30 minutes. To find out when they will ring together again, we need to find the least common multiple (LCM) of these three intervals.
Finding the LCM:
To find the LCM of 10, 15, and 30, we can break down these numbers into their prime factors:
- The prime factors of 10 are 2 x 5
- The prime factors of 15 are 3 x 5
- The prime factors of 30 are 2 x 3 x 5
Then, we take the highest power of each prime factor:
- The LCM = 2^1 x 3^1 x 5^1 = 2 x 3 x 5 = 30
Answer:
The three bells will ring together again after 30 minutes.
Therefore, the three bells will ring together again at 8:30 p.m.
The time intervals at which the three bells ring are 10 minutes, 15 minutes, and 30 minutes. To find out when they will ring together again, we need to find the least common multiple (LCM) of these three intervals.
Finding the LCM:
To find the LCM of 10, 15, and 30, we can break down these numbers into their prime factors:
- The prime factors of 10 are 2 x 5
- The prime factors of 15 are 3 x 5
- The prime factors of 30 are 2 x 3 x 5
Then, we take the highest power of each prime factor:
- The LCM = 2^1 x 3^1 x 5^1 = 2 x 3 x 5 = 30
Answer:
The three bells will ring together again after 30 minutes.
Therefore, the three bells will ring together again at 8:30 p.m.
Community Answer
Three bells ring at an interval of 10min, 15min,and 30 min.They were r...
8:30pm
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Three bells ring at an interval of 10min, 15min,and 30 min.They were ring together at 8:00p.m.When will they ring together again?
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