High School

Two lights are flashing. The red light flashes every 4 seconds, and the yellow light flashes every 22 seconds. From the instant that the two lights flash at the same time, how many seconds will pass before they flash at the same time again?

Answer :

Final answer:

The two lights will flash at the same time again after 44 seconds.

Explanation:

To find the number of seconds that pass before the two lights flash at the same time again, we need to find the least common multiple (LCM) of the flashing intervals of the two lights. The red light flashes every 4 seconds and the yellow light flashes every 22 seconds.

The LCM of 4 and 22 is 44. Therefore, it will take 44 seconds before the two lights flash at the same time again.