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Six bells commence tolling togrther and toll at intervals of 2,4,6,8,10,12 mins. respectively . in 30 hrs , how many times do they toll together?n?
Verified Answer
Six bells commence tolling togrther and toll at intervals of 2,4,6,8,1...
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10, 12 minutes respectively.
Hence, using LCM of the given numbers which is 120 we conclude that bell will toll together after 120 seconds = 2 minutes.
In 30 minutes they will toll together in (30/2) = 15 and 1 (at the starting). Hence, total number of bells together is 15 + 1 = 16
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Most Upvoted Answer
Six bells commence tolling togrther and toll at intervals of 2,4,6,8,1...
30 * 60 = 1800 min.
LCM of 2 , 4 , 6 , 8 , 10 and 12 is 120 .
Divide 1800 by 120 .
15.
Add one . i.e , 15+1 .
So answer is 16 times.
LCM of 2 , 4 , 6 , 8 , 10 and 12 is 120 .
Divide 1800 by 120 .
15.
Add one . i.e , 15+1 .
So answer is 16 times.
Community Answer
Six bells commence tolling togrther and toll at intervals of 2,4,6,8,1...
Analysis:
To find out how many times the bells toll together in 30 hours, we need to determine the time intervals at which all the bells toll simultaneously.
Identifying Time Intervals:
- The first bell tolls every 2 minutes
- The second bell tolls every 4 minutes
- The third bell tolls every 6 minutes
- The fourth bell tolls every 8 minutes
- The fifth bell tolls every 10 minutes
- The sixth bell tolls every 12 minutes
Finding the LCM:
To find the time intervals at which all the bells toll together, we need to calculate the Least Common Multiple (LCM) of the time intervals of all six bells.
LCM of 2, 4, 6, 8, 10, 12 = 120 minutes
Converting to Hours:
120 minutes is equal to 2 hours. Therefore, the bells toll together every 2 hours.
Calculating Total Instances:
In 30 hours, the bells will toll together 30/2 = 15 times.
Conclusion:
Therefore, the bells toll together 15 times in 30 hours.
To find out how many times the bells toll together in 30 hours, we need to determine the time intervals at which all the bells toll simultaneously.
Identifying Time Intervals:
- The first bell tolls every 2 minutes
- The second bell tolls every 4 minutes
- The third bell tolls every 6 minutes
- The fourth bell tolls every 8 minutes
- The fifth bell tolls every 10 minutes
- The sixth bell tolls every 12 minutes
Finding the LCM:
To find the time intervals at which all the bells toll together, we need to calculate the Least Common Multiple (LCM) of the time intervals of all six bells.
LCM of 2, 4, 6, 8, 10, 12 = 120 minutes
Converting to Hours:
120 minutes is equal to 2 hours. Therefore, the bells toll together every 2 hours.
Calculating Total Instances:
In 30 hours, the bells will toll together 30/2 = 15 times.
Conclusion:
Therefore, the bells toll together 15 times in 30 hours.
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Six bells commence tolling togrther and toll at intervals of 2,4,6,8,10,12 mins. respectively . in 30 hrs , how many times do they toll together?n?
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Six bells commence tolling togrther and toll at intervals of 2,4,6,8,10,12 mins. respectively . in 30 hrs , how many times do they toll together?n? 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 togrther and toll at intervals of 2,4,6,8,10,12 mins. respectively . in 30 hrs , how many times do they toll together?n? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Six bells commence tolling togrther and toll at intervals of 2,4,6,8,10,12 mins. respectively . in 30 hrs , how many times do they toll together?n?.
Six bells commence tolling togrther and toll at intervals of 2,4,6,8,10,12 mins. respectively . in 30 hrs , how many times do they toll together?n? 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 togrther and toll at intervals of 2,4,6,8,10,12 mins. respectively . in 30 hrs , how many times do they toll together?n? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Six bells commence tolling togrther and toll at intervals of 2,4,6,8,10,12 mins. respectively . in 30 hrs , how many times do they toll together?n?.
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