Question

Three bells are ringing continuously at intervals of 30,36 40 and 45 minutes respectively. At what time will they ring together again if they ring simultaneously at 9 a.m.? with its methods

Answer 1

Answer:

We are given that Three bells are ringing continuously at intervals of 30,36 and 45 minutes respectively.

Si, First Find the least common multiple of 30,36 and 45

3 |30,36,45

5 |10,12,15

3 |2,12,3

2 |2,4,1

2 |1,2,1

|1,1,1

So L.C.M. of 30,36 and 45 is 3 \times 5\times3\times2\ times2=180.3×5×3×2×2=180.

So after 180 minutes they ring together .

60 minutes = 1 hour

So, 180 minutes = 3 hours

So, after 3 hours they ring together.

Therefore they all ring together again if they ring simultaneously at 8 a.m. at 11:00 am

Hope this helps you!

THE ANSWER IS 8: 00 AM TO 11:00 AM

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