High School

A red light flashes every 3 seconds.
A yellow light flashes every 8 seconds.
A green light flashes every 11 seconds.

They all flash at the same time. After how many seconds will they next all flash at the same time?

Answer :

The three lights will flash together again after 264 seconds.

The question involves finding a common time at which all three lights, flashing at different intervals, will flash together again. To solve this, we need to calculate the least common multiple (LCM) of the three time intervals.

  1. Identify the flashing intervals for the red, yellow, and green lights: 3 seconds, 8 seconds, and 11 seconds respectively.
  2. Find the LCM of 3, 8, and 11 which is the smallest number that is a multiple of each of the three numbers.
  3. To find the LCM, look for multiples of the largest number (11 in this case) and check whether they are also multiples of the other two numbers (3 and 8).
  4. The first common multiple that satisfies all three conditions is the LCM. In this case, the LCM is 264 seconds.

Therefore, the three lights will flash together again after 264 seconds.

Answer:

264 seconds

Step-by-step explanation:

first you find the L.C.M (Lowest Common Multiple) of 3,8,11 which is equal to 264

so ans equal to 264 seconds

I hope this helped

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