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Question
Two alarm clocks ring their alarms at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12 noon, at what time will they beep again together for the first time?
Two alarm clocks ring their alarms at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12 noon, at what time will they beep again together for the first time?
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Solution
Since the regular interval of alarms are 50s and 48s.
So both alarms ring together after x sec., where x is LCM of 50 and 48.
Now LCM(50, 48) =1200
So both alarms ring together after 1200 sec.
Or, both alarms ring together after 20 min. (by dividing 60)
Now, since they beep together at 12 noon,
So next time they beep together at 12:20 PM.
So both alarms ring together after x sec., where x is LCM of 50 and 48.
Now LCM(50, 48) =1200
So both alarms ring together after 1200 sec.
Or, both alarms ring together after 20 min. (by dividing 60)
Now, since they beep together at 12 noon,
So next time they beep together at 12:20 PM.
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