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Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 hours , how many times do they toll together ?
Most Upvoted Answer
Six bells commence tolling together and toll at intervals of 2, 4, 6, ...
Analysis of the problem:
The bells toll at intervals of 2, 4, 6, 8, 10, and 12 seconds respectively. To find out how many times they toll together in 30 hours, we need to consider the least common multiple (LCM) of these intervals.
Calculating the LCM:
- LCM of 2 and 4 is 4
- LCM of 4 and 6 is 12
- LCM of 12 and 8 is 24
- LCM of 24 and 10 is 120
- LCM of 120 and 12 is 120
Therefore, the LCM of all the intervals is 120 seconds or 2 minutes.
Calculating the number of times they toll together in 30 hours:
- 30 hours = 30 * 60 * 60 seconds = 108000 seconds
- Number of times they toll together = Total time / LCM = 108000 / 120 = 900 times
Therefore, the bells toll together 900 times in 30 hours.
The bells toll at intervals of 2, 4, 6, 8, 10, and 12 seconds respectively. To find out how many times they toll together in 30 hours, we need to consider the least common multiple (LCM) of these intervals.
Calculating the LCM:
- LCM of 2 and 4 is 4
- LCM of 4 and 6 is 12
- LCM of 12 and 8 is 24
- LCM of 24 and 10 is 120
- LCM of 120 and 12 is 120
Therefore, the LCM of all the intervals is 120 seconds or 2 minutes.
Calculating the number of times they toll together in 30 hours:
- 30 hours = 30 * 60 * 60 seconds = 108000 seconds
- Number of times they toll together = Total time / LCM = 108000 / 120 = 900 times
Therefore, the bells toll together 900 times in 30 hours.
Community Answer
Six bells commence tolling together and toll at intervals of 2, 4, 6, ...
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Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 hours , how many times do they toll together ?
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Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 hours , how many times do they toll together ? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 hours , how many times do they toll together ? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 hours , how many times do they toll together ?.
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 hours , how many times do they toll together ? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 hours , how many times do they toll together ? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 hours , how many times do they toll together ?.
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