13 .Four bells ring at intervals of 3, 7, 12, and 14 minutes, respectively. All four rang together at 12 noon. When will they ring together again? nf rihhon One niece is 720 cm long and the other piece is 900 cm 1
Answers
Answer:
Step-by-step explanation:The four bells ring together again at 9 pm
Solution:
Given that,
Four bells rings at intervals of 8 , 10 , 12 , 14 minutes respectively
Find LCM of 8, 10, 12 and 14
List all prime factors for each number.
Prime Factorization of 8 is: 2 x 2 x 2
Prime Factorization of 10 is: 2 x 5
Prime Factorization of 12 is: 2 x 2 x 3
Prime Factorization of 14 is: 2 x 7
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
2, 2, 2, 3, 5, 7
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 2 x 3 x 5 x 7 = 840
Thus the four rings will together at 840 minutes
1 hour = 60 minutes
Thus,
840 minutes = 14 hours
They rang at 7 a.m
They will ring together again at = 7 am + 14 hours = 9 pm.
Thus they ring together again at 9 pm.
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