Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10, 12 minutes respectively.
Hence, using LCM of the given numbers which is 120 we conclude that bell will toll together after 120 seconds = 2 minutes.
In 30 minutes they will toll together in (30/2) = 15 and 1 (at the starting).
Hence, total number of bells together is 15 + 1 = 16
For what purpose we add 1 in the last step
Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10, 12 minutes respectively.
Hence, using LCM of the given numbers which is 120 we conclude that bell will toll together after 120 seconds = 2 minutes.
In 30 minutes they will toll together in (30/2) = 15 and 1 (at the starting).
Hence, total number of bells together is 15 + 1 = 16