three bells in crunched tool at events of 15 18 and 45 seconds repeatable after how many seconds will be three bells toll together
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Answer:
After 90 seconds and every 90 seconds thereafter
Explanation:
First bell will toll at intervals of 15 seconds; second in 18 seconds and third in 45 seconds.
The first time that all the bells will toll together will be the least common multiple (LCM) of 15, 18 and 45
LCM of 15,18,45 = 90
The first time that all the bells will toll together will be at 90 seconds.
It is also clear that the second time, the bells will toll together will be at 180 seconds, then at 270 seconds, and so on.
Hence, the bells will toll after 90 seconds, and at every 90 seconds thereafter.
Simultaneous tolling interval (seconds): 90, 180, 270, etc.
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