2 flashlights focus on the same spot on a stage. ONe flashes every 23 seconds, while the other flashes every 17 seconds. Both flashlights focus at the spot together at 12:17 pm. When will the flashlights next focus at the spot together?
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Answer: 12:23:31 Pm
Your question is to find the time when the flashlights next focus at the spot together.
Step-by-step explanation:
The time when the flashlights next focus at the spot together can be calculated by finding the least common multiple(LCM) of 23 and 17.
As both 17 and 23 are prime numbers, their least common multiple(LCM) can be obtained by multiplying the two numbers.
Thus, least common multiple(LCM) of 17 and 23= 17×23=391
391 seconds= 391/60 (because 1 minute= 60 seconds)= 6 minutes and 31 seconds
Hence, the two flashlights will next focus at the spot together at 12:23:31pm( Because 12:17pm( given in the question) + 6 minutes and 31 seconds= 12:23:31 PM)
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