High School

In a lighthouse, the red light flashes every 6 seconds, the blue light flashes every 8 seconds, and the green light flashes every 10 seconds. If all three lights flashed simultaneously at 10:30 p.m., at what time will the lights flash together again?​

Answer :

The time when the lights will flash together again is at 10.32 pm.

What time will the lights flash together again?​

To find out when all three lights will flash together again, we need to find the least common multiple of the flash intervals for each light (6 seconds, 8 seconds, and 10 seconds).

The LCM of 6, 8, and 10 is determined as;

6 = 2 x 3

8 = 2³

10 = 2 x 5

LCM = 2³ x 3 x 5 = 120

So, all three lights will flash together again every 120 seconds.

120 s = 2 minutes

Therefore, the lights will flash together again every 2 minutes.

Starting from 10:30 p.m., if we add 2 minutes, the lights will flash together at 10:32 p.m.

Learn more about LCM here: https://brainly.com/question/233244

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