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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?
Verified Answer
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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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? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 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? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
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? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 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? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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