Four bells ring at intervals of 3,7,12 and 14minutes respectively. all the four bells rang together at 12 noon. at what time will they ring together again?
Answers
Given:
First bell rang at interval of = 3mins
Second bell rang at interval of = 7 MINS
Third bell rang at interval of = 12 mins
Fourth bell rang at interval of = 14 mins
Four bells rang together at = 12 noon (12:00)
To Find:
At what time will they ring together again = ?
Solution:
LCM of 3, 7, 12, 14
LCM = 2 x 2 x 3 x 7 2 | 3, 7, 12, 14
= 4 x 3 x 7 2 |3, 7, 6, 7
= 12 x 7 3 |3, 7, 3, 7
= 84 7 |1, 7, 1, 7
|1, 1, 1, 1
convert 84 mins into hours
84 - 60 = 24 mins
1 whole and 24 = 1 hour 24 mins ( 1:24 )
Answer ;
The four bells will ring together at 1:24 pm again
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