Answer :
Final answer:
The fifth time both lights will flash together will be 2:00 pm. This was found using the least common multiple (LCM) of the times each light flashes.
Explanation:
This problem can be solved using the concept of the least common multiple (LCM), a mathematical process to find the smallest common multiple of any two or more numbers.
The LCM of 6 minutes (time Light B flashes) and 8 minutes (time Light A flashes) is 24 minutes. This means that at every 24 minute interval, both lights will flash at the same time.
Since we want to find out the exact time of the fifth simultaneous flash, we multiply the LCM of 24 minutes by 5, getting us a total of 120 minutes (2 hours).
As both lights flashed at the same time at noon, adding 2 hours to 12:00 (noon) will give us the time they will flash together for the fifth time, which will be 2:00 pm.
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