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In a school, the duration of a period in junior section is 40 minutes and in senior section is 1 hour: If the first bell for each section rings at 9:00 a.m., when will the two bells ring together again?
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In a school, the duration of a period in junior section is 40 minutes ...
Introduction:
In a school, the duration of a period in the junior section is 40 minutes, while in the senior section it is 1 hour. We need to determine when the two bells will ring together again.
Step 1: Find the common multiples:
To find the time when both bells will ring together, we need to find the common multiples of 40 minutes and 1 hour.
Step 2: Convert time to a common unit:
To find the common multiples, we need to convert the time to a common unit. Let's convert both 40 minutes and 1 hour to minutes.
40 minutes = 40 minutes
1 hour = 60 minutes
Step 3: Find the least common multiple (LCM):
Now, we need to find the least common multiple (LCM) of 40 minutes and 60 minutes.
To find the LCM, we can list the multiples of each number and find the smallest number that appears in both lists.
Multiples of 40 minutes: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, ...
Multiples of 60 minutes: 60, 120, 180, 240, 300, 360, 420, 480, ...
From the lists, we can see that the smallest number that appears in both lists is 120 minutes.
Step 4: Convert the LCM back to hours and minutes:
Now that we have found the LCM in minutes, we need to convert it back to hours and minutes.
120 minutes = 2 hours + 0 minutes
Step 5: Determine the time when the two bells will ring together:
The first bell for each section rings at 9:00 a.m. Since the LCM is 2 hours, the two bells will ring together again after 2 hours.
9:00 a.m. + 2 hours = 11:00 a.m.
Conclusion:
The two bells will ring together again at 11:00 a.m.
In a school, the duration of a period in the junior section is 40 minutes, while in the senior section it is 1 hour. We need to determine when the two bells will ring together again.
Step 1: Find the common multiples:
To find the time when both bells will ring together, we need to find the common multiples of 40 minutes and 1 hour.
Step 2: Convert time to a common unit:
To find the common multiples, we need to convert the time to a common unit. Let's convert both 40 minutes and 1 hour to minutes.
40 minutes = 40 minutes
1 hour = 60 minutes
Step 3: Find the least common multiple (LCM):
Now, we need to find the least common multiple (LCM) of 40 minutes and 60 minutes.
To find the LCM, we can list the multiples of each number and find the smallest number that appears in both lists.
Multiples of 40 minutes: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, ...
Multiples of 60 minutes: 60, 120, 180, 240, 300, 360, 420, 480, ...
From the lists, we can see that the smallest number that appears in both lists is 120 minutes.
Step 4: Convert the LCM back to hours and minutes:
Now that we have found the LCM in minutes, we need to convert it back to hours and minutes.
120 minutes = 2 hours + 0 minutes
Step 5: Determine the time when the two bells will ring together:
The first bell for each section rings at 9:00 a.m. Since the LCM is 2 hours, the two bells will ring together again after 2 hours.
9:00 a.m. + 2 hours = 11:00 a.m.
Conclusion:
The two bells will ring together again at 11:00 a.m.
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In a school, the duration of a period in junior section is 40 minutes and in senior section is 1 hour: If the first bell for each section rings at 9:00 a.m., when will the two bells ring together again?
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In a school, the duration of a period in junior section is 40 minutes and in senior section is 1 hour: If the first bell for each section rings at 9:00 a.m., when will the two bells ring together again? 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 In a school, the duration of a period in junior section is 40 minutes and in senior section is 1 hour: If the first bell for each section rings at 9:00 a.m., when will the two bells ring together again? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a school, the duration of a period in junior section is 40 minutes and in senior section is 1 hour: If the first bell for each section rings at 9:00 a.m., when will the two bells ring together again?.
In a school, the duration of a period in junior section is 40 minutes and in senior section is 1 hour: If the first bell for each section rings at 9:00 a.m., when will the two bells ring together again? 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 In a school, the duration of a period in junior section is 40 minutes and in senior section is 1 hour: If the first bell for each section rings at 9:00 a.m., when will the two bells ring together again? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a school, the duration of a period in junior section is 40 minutes and in senior section is 1 hour: If the first bell for each section rings at 9:00 a.m., when will the two bells ring together again?.
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