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Three bells ring at regular intervals of 20 minutes 36 minutes and 48 minutes respectively. At what time they will ring together again next, if they start simulataneously?
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Three bells ring at regular intervals of 20 minutes 36 minutes and 48 ...
Analysis:
- The bells ring at intervals of 20 minutes, 36 minutes, and 48 minutes respectively.
- We need to find the time at which all three bells will ring together again.
Solution:
- The time at which all three bells will ring together again is called the least common multiple (LCM) of the intervals at which they ring.
- First, we find the LCM of 20, 36, and 48.
- Prime factorization of 20 = 2 * 2 * 5
- Prime factorization of 36 = 2 * 2 * 3 * 3
- Prime factorization of 48 = 2 * 2 * 2 * 2 * 3
- LCM = 2^4 * 3^2 * 5 = 720 minutes
Conclusion:
- The three bells will ring together again after 720 minutes or 12 hours.
- Therefore, they will ring together again at the same time 12 hours later from when they started ringing simultaneously.
- The bells ring at intervals of 20 minutes, 36 minutes, and 48 minutes respectively.
- We need to find the time at which all three bells will ring together again.
Solution:
- The time at which all three bells will ring together again is called the least common multiple (LCM) of the intervals at which they ring.
- First, we find the LCM of 20, 36, and 48.
- Prime factorization of 20 = 2 * 2 * 5
- Prime factorization of 36 = 2 * 2 * 3 * 3
- Prime factorization of 48 = 2 * 2 * 2 * 2 * 3
- LCM = 2^4 * 3^2 * 5 = 720 minutes
Conclusion:
- The three bells will ring together again after 720 minutes or 12 hours.
- Therefore, they will ring together again at the same time 12 hours later from when they started ringing simultaneously.
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Three bells ring at regular intervals of 20 minutes 36 minutes and 48 minutes respectively. At what time they will ring together again next, if they start simulataneously?
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Three bells ring at regular intervals of 20 minutes 36 minutes and 48 minutes respectively. At what time they will ring together again next, if they start simulataneously? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Three bells ring at regular intervals of 20 minutes 36 minutes and 48 minutes respectively. At what time they will ring together again next, if they start simulataneously? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three bells ring at regular intervals of 20 minutes 36 minutes and 48 minutes respectively. At what time they will ring together again next, if they start simulataneously?.
Three bells ring at regular intervals of 20 minutes 36 minutes and 48 minutes respectively. At what time they will ring together again next, if they start simulataneously? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Three bells ring at regular intervals of 20 minutes 36 minutes and 48 minutes respectively. At what time they will ring together again next, if they start simulataneously? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three bells ring at regular intervals of 20 minutes 36 minutes and 48 minutes respectively. At what time they will ring together again next, if they start simulataneously?.
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