Question

The traffic lights at three different road crossings change after every 36 seconds,75 seconds and 80 seconds respectively. If they change simultaneously at 7AM after what time will they change again simultaneously?​

Answer 1

Answer:

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Answer 2

Given :-

The traffic lights change after

= 36 seconds

= 75 seconds

= 80 seconds

They change simultaneously at = 7 a.m.

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To Find :-

⇒ What time they will change simultaneously after 7 a.m.

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Solution :-

⇒ To find the when they will change simultaneously after 7 a.m, we have to find the LCM of 36 seconds, 75 seconds and 80 seconds and add it to 7 a.m.

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Required Answer :-

The lights will change simultaneously after 7 a.m. at

= LCM of 36, 75 and 80

= 2 × 3 × 5 × 2 × 3 × 5 × 4

= 3600 seconds

= 7 a.m. + 3600 seconds

= 7 a.m. + 60 minutes or 1 hour

= 8 a.m.

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Hence,

⇒ The lights will change simultaneously at 8 a.m. after 7 a.m.

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