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Three bells in the bhootnath temple toll...

Three bells in the bhootnath temple toll at the interval of 48, 72 and 108 second individually. If they have tolled all together at 6 : 00 AM then at what time will they toll together after 6 : 00 AM ?

Text Solution

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The three balls toll together only at the LCM of the times they toll individually.
Thus the LCM of 48 , 72 , and 108 is 432 seconds. Therefore all the bells will toll together at 6 : 07 : 12 AM (`therefore` 432 seconds = 7 minuts 12 seconds)
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