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The traffic lights at three different road crossing changes after 48,72 and 108 sec respectively .If they all changes simultaneously at 8 hrs , then at what time will they again change simultaneously?
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The traffic lights at three different road crossing changes after 48,7...
Given that traffic light at three different road crossing change after every 48 seconds,72 seconds and 108 seconds respectively.48 = 2 x 2 x 2 x 2 x 372 = 2 x 2 x 2 x 3 x 3108 = 2 x 2 x 3 x 3 x 3Hence LCM of 48, 72 and 108 is (2 x 2 x 2 x2 x 3 x 3 x 3) = 432That is after 432 seconds they will change simultaneously432 seconds = 7 min 12 secondsThus the traffic lights change simultaneously at 7:7:12 am
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Most Upvoted Answer
The traffic lights at three different road crossing changes after 48,7...

Analysis:

To find the time at which all three traffic lights will change simultaneously again, we need to determine the time it takes for all three lights to complete a cycle together.

Given:
- First traffic light changes after 48 seconds.
- Second traffic light changes after 72 seconds.
- Third traffic light changes after 108 seconds.
- All lights change simultaneously at 8 hours (28800 seconds).

Calculating the time taken for each light to change:

- LCM of 48, 72, and 108 is 432.
- The first light completes a cycle in 432 seconds (48 * 9).
- The second light completes a cycle in 432 seconds (72 * 6).
- The third light completes a cycle in 432 seconds (108 * 4).

Finding the next time they will change simultaneously:

- To find the next time they will change simultaneously, we need to find the common multiple of 432 and 28800.
- The common multiple of 432 and 28800 is 86400.

Converting 86400 seconds into hours and minutes:

- 86400 seconds = 24 hours.

Therefore, the traffic lights will change simultaneously again after 24 hours from their initial simultaneous change at 8 hours. This means they will all change together at 8 AM the next day.
Community Answer
The traffic lights at three different road crossing changes after 48,7...
I think yash is right ...and gud explanation yash
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The traffic lights at three different road crossing changes after 48,72 and 108 sec respectively .If they all changes simultaneously at 8 hrs , then at what time will they again change simultaneously?
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