three bells are ringing continuously at 24, 30 and 36 minutes respectively. at what time will they ring together again if they ring simultaneously at 9am
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Answer:
3 p.m.
Step-by-step explanation:
As the bells ring at different time intervals, we have to find the L.C.M. of the 3 numbers given.
So, the L.C.M. of the given numbers (24, 30, 36) = 360 minutes.
Meaning these bells ring together every 360 minutes.
Converting 360 minutes to hours:
= 360/60
= 36/6
= 6 hours
So now add these 6 hours to 9 p.m.
The three bells will ring together again at
= 9 a.m. + 6 hours
= 3 p.m.
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We are given that Three bells are ringing continuously at intervals of 30,36 and 45 minutes respectively. So after 180 minutes they ring together . So, after 3 hours they ring together. Therefore they all ring together again if they ring simultaneously at 8 a.m. at 11:00 a.m.
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