Question
data-sheets-value="{"1":2,"2":"Five bells commence tolling together and tolls at intervals of 2, 6, 10, 18 and 24 seconds respectively. In 36 minutes, how many times do they toll together? "}" data-sheets-userformat="{"2":4993,"3":{"1":0},"10":2,"11":4,"12":0,"15":"arial,sans,sans-serif"}">Five bells commence tolling together and tolls at intervals of 2, 6, 10, 18 and 24 seconds respectively. In 36 minutes, how many times do they toll together?
Solution
First time, 5 bells will toll together on = LCM (2,6,10,18 & 24sec) = 360 sec = 6 min
In 36 minutes , they will toll together = 36 /6 = 6 times
But it is also given that they commence tolling together at starting time so answer is 6 + 1 = 7.
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