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Three bells in a temple toll at every 10 minutes, 18mins and 30 minutes respectively.If they toll together at 7 :00am ,then the time among the following at which they will toll together again is ?
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Three bells in a temple toll at every 10 minutes, 18mins and 30 minute...
Introduction:
In this problem, we are given three bells in a temple that toll at different intervals. We need to find the next time when all three bells will toll together after they toll together at 7:00 am.
Approach:
To solve this problem, we can use the concept of finding the least common multiple (LCM) of the given intervals. The LCM will give us the time at which all three bells toll together again.
Step 1: Finding the LCM of the intervals:
We have three intervals: 10 minutes, 18 minutes, and 30 minutes. To find the LCM, we can start by listing the multiples of each interval until we find a common multiple.
Multiple of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...
Multiple of 18: 18, 36, 54, 72, 90, 108, ...
Multiple of 30: 30, 60, 90, 120, ...
From the above multiples, we can see that 90 is the smallest common multiple of all three intervals.
Step 2: Converting the LCM to time format:
We know that the bells toll together at 7:00 am. To find the next time when they will toll together, we need to add the LCM to the given time.
7:00 am + 90 minutes = 8:30 am
Therefore, the next time when all three bells will toll together is 8:30 am.
Summary:
The next time when the three bells in the temple will toll together after tolling together at 7:00 am is 8:30 am. This is determined by finding the least common multiple (LCM) of the given intervals and adding it to the initial time.
In this problem, we are given three bells in a temple that toll at different intervals. We need to find the next time when all three bells will toll together after they toll together at 7:00 am.
Approach:
To solve this problem, we can use the concept of finding the least common multiple (LCM) of the given intervals. The LCM will give us the time at which all three bells toll together again.
Step 1: Finding the LCM of the intervals:
We have three intervals: 10 minutes, 18 minutes, and 30 minutes. To find the LCM, we can start by listing the multiples of each interval until we find a common multiple.
Multiple of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...
Multiple of 18: 18, 36, 54, 72, 90, 108, ...
Multiple of 30: 30, 60, 90, 120, ...
From the above multiples, we can see that 90 is the smallest common multiple of all three intervals.
Step 2: Converting the LCM to time format:
We know that the bells toll together at 7:00 am. To find the next time when they will toll together, we need to add the LCM to the given time.
7:00 am + 90 minutes = 8:30 am
Therefore, the next time when all three bells will toll together is 8:30 am.
Summary:
The next time when the three bells in the temple will toll together after tolling together at 7:00 am is 8:30 am. This is determined by finding the least common multiple (LCM) of the given intervals and adding it to the initial time.
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Three bells in a temple toll at every 10 minutes, 18mins and 30 minute...
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Three bells in a temple toll at every 10 minutes, 18mins and 30 minutes respectively.If they toll together at 7 :00am ,then the time among the following at which they will toll together again is ?
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Three bells in a temple toll at every 10 minutes, 18mins and 30 minutes respectively.If they toll together at 7 :00am ,then the time among the following at which they will toll together again is ? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Three bells in a temple toll at every 10 minutes, 18mins and 30 minutes respectively.If they toll together at 7 :00am ,then the time among the following at which they will toll together again is ? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three bells in a temple toll at every 10 minutes, 18mins and 30 minutes respectively.If they toll together at 7 :00am ,then the time among the following at which they will toll together again is ?.
Three bells in a temple toll at every 10 minutes, 18mins and 30 minutes respectively.If they toll together at 7 :00am ,then the time among the following at which they will toll together again is ? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Three bells in a temple toll at every 10 minutes, 18mins and 30 minutes respectively.If they toll together at 7 :00am ,then the time among the following at which they will toll together again is ? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three bells in a temple toll at every 10 minutes, 18mins and 30 minutes respectively.If they toll together at 7 :00am ,then the time among the following at which they will toll together again is ?.
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