Question

2 -
04c) Three traffic lights at three different road crossings change after 48 seconds. 72
seconds and 100 seconds respectively. If they all change simultaneously at 8 a.m.. at what time will they change again simultaneously?
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Answer 1

Answer:

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Step-by-step explanation:

The traffic light at three different road crossing change after every 48 seconds,72 seconds and 100 seconds respectively.

So let us take the LCM of the given time that is 48 seconds, 72 seconds, 100 seconds

⇒ 48 = 2 × 2 × 2 × 2 × 3

⇒ 72 = 2 × 2 × 2 × 3 × 3

⇒ 100 = 2 × 2 × 5 × 5

Hence LCM of 48, 72 and 100 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 3600

LCM of 48, 72 and 108 = 3600

So after 3600 seconds they will change simultaneously

We know that

3600 seconds = 60 minutes = 1 hour

Hence the lights change simultaneously after 1 hour i.e at 9am

Answer 2

Upper answer is right answer.

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