3 bells ring at the time intervals of 25 minutes, 55 minutes and 45 minutes. At what time will the bells ring together?

3 bells ring at the time intervals of 25 minutes, 55 minutes and 45 minutes. At what time will the bells ring together? Correct Answer 41.25 hours  

Concept Used:

Time when bells ring together is lcm of individual timings of the bells.

Calculations:

Time after which first bell rang = 25 mins

Time after which second bell rang = 55 mins

Time after which third bell rang = 45 mins

Time when all bells will ring together again = LCM of (25, 55, 45)

⇒ Time when all bells will ring together again =2475 mins = 2475/60 hours      

⇒ Time when all bells will ring together again = 41.25 hours      

∴ The bells will ring together again after 41 hours 25 seconds.

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