Question

Q-30) Three bulbs are connected in such a manner
that they glow for every 24 seconds, 36 seconds
and 54 seconds respectively. All of them glow at
once at 8 a.m. When will they again glow
simultaneously?​

Answer 1

Answer:

The LCM of 24,36 and 54 is 216, which doesn't help; the first light has just reached the end of 9 half-cycles at that time and is turning off, while the other lights are turning on. We need the LCM of the full cycles, 48, 72 and 108, which is 432. So all 3 will be lighting up again after 432 seconds, at 08:07:12.

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Step-by-step explanation:

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Answer 2

Given,

First bulb glows every 24 seconds

Second bulb glows every 36 second

Third bulb glows every 54 seconds

(Do their LCM as in the uploaded picture)

So, the bulbs glow simultaneously every 216 seconds or

The bulb glowed simultaneously at 8 am

The next time time , they will glow at

8:03 am(36 seconds more)

(216 seconds is 3 minutes 36 seconds)

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