Answer :
Final answer:
To solve the problem, calculate the Least Common Multiple (LCM) of the time periods of flashing for each bulb. The LCM of 10s, 15s, and 24s is 120 seconds (2 minutes). Thus, it will take 2 minutes for all three bulbs to flash together again.
Explanation:
The subject of your question falls within the realm of Mathematics, specifically dealing with Least Common Multiple (LCM). In order to figure out when the three bulbs will flash together again, we need to find the Least Common Multiple (LCM) of 10 seconds, 15 seconds and 24 seconds which represents the times the bulbs flash.
The LCM of 10, 15, and 24 can be found by factoring each number into their prime factors:
- 10 = 2*5
- 15 = 3*5
- 24= 2^3*3 .
Next select the highest power of each prime from all three list, which are two 2s, one 3, one 5. Multiply them together: 2^2*3*5 = 4*3*5 = 120 seconds.
So, it will take 120 seconds (or 2 minutes) for all three bulbs to flash together again if they all flashed together now.
Note that this problem is an application of the concept of LCM in Real Life scenarios. Here, the flashing of bulbs is used as an analogy to help grasp the mathematical concept better.
Learn more about Least Common Multiple (LCM) here:
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