Answer :
Final answer:
The red and blue lights will next flash together 168 minutes (or 2 hours and 48 minutes) after 8:00am. Therefore, they will flash together again at 10:48am.
Explanation:
The subject of this question is about finding the least common multiple (LCM) of the given time intervals. The LCM of 14 and 24 minutes is 168 minutes, which is the same as 2 hours and 48 minutes. The lights will next flash together 168 minutes (or 2 hours and 48 minutes) after 8:00am. Therefore, the two lights will flash together again at 10:48am.
To find the LCM, you could list out multiple of 14 and 24 and find the smallest one that appears in both lists:
- Multiples of 14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224...
- Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240...
From listing out the multiples, we can see that the smallest common multiple of 14 and 24 is 168.
Learn more about Least Common Multiple here:
https://brainly.com/question/34291727
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