three bells are ringing continuously at intervals of 30 and 40 and 45 respectively at what time will they ring together if they ring simultaneously at 5 a.m.
Answers
Answer:
They will simultaneously ring again at 5:06 a.m.
Step-by-step explanation:
Let a,b,c be the 3 bells
Intervals between the ringing of
bell a = 30 secs
bell b = 40 secs
bell c = 45 secs
they simultaneously ring at = 5 a.m.
At what time will they simultaneously ring again = LCM of 30,40,45 = 360 secs
= 360 secs = 6 mins
= 5a.m. + 6 min
= 5:06 a.m.
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.