Two printers beep at intervals of 18 minutes and 24 minutes respectively. If they beeo together at 3 p.m., at what time will they next beep at the same time?
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Answer:
Time when they beep together next time is 4:12 PM
Step-by-step explanation:
Given:
Time intervals at which printer beep = 18 minutes and 24 minutes..
Time when both beeped together = 3 PM
To find: Time when they beep together next time.
To find the time first we need to find the LCM of the given time interval.
LCM of 18 and 24
18 = 2 × 3 × 3
24 = 2 × 2 × 2 × 3
LCM = 2 × 3 × 3 × 2 × 2 = 9 × 8 = 72
They beep after 72 minutes or 1 hr 12 minutes.
⇒ Time = 4 : 12 PM
Therefore, Time when they beep together next time is 4:12 PM
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