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Three bells chime at an interval of 18, 24 and 32 minutes respectively. At a certain time they begin to chime together. What length of time will elapse before they chime together again?

  1. 2 hours 24 minutes
  2. 4 hours 48 minutes
  3. 1 hour 36 minutes
  4. 5 hours

1 Answer

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They begin to chime together at a time interval of LCM(18,24,32) = 288 minutes i.e. 4 hours and 48 minutes.
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