Question

3 bells toll at intervals of 12 15 and 18 minutes respectively if they start tolling together after what time will next toll together

Answer 1

As given the bels toll at intervals of 12 min, 15 min and 18 min respectively.
After they start together, they would
meet at the time when their tolling interval coincides i.e. The L.C.M of 12 15 and 18.
12 = 2*2*3
18 = 3*3*2
15 = 3*5
L.C.M is the product of distinct factors raised to the highest powers,
Thus, the L.C.M is
2*2*3*3*5 = 180 minutes.
Thus, they will toll together after 180 minutes of starting i.e. after 3 hours.
Hope this helps.

Answer 2

Answer: 3 hours time will next toll together.

Step-by-step explanation:

According to the question,

As we know, three bells toll at intervals of 12, 15 and 18 minutes respectively if they start tolling together after what time will next toll together

As Tolling together for next time means tolling after the least possible minutes which is the LCM of 12, 15, and 18.

LCM = 2 ×2 × 3 × 3 × 1 ×1 × 5 = 180

∴ Time after which the three bells will toll together next = 180 minutes

We know that 60 minutes = 1 hour

∴ 180 minutes = $\frac{180}{60} = 3$ hours.

Hence, 3 hours time will next toll together.

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