An electronic device makes a beep after every 12 minutes. Another devi...
LCM of 12 and 18 = 36 minutes. 6 a.m. & 36 minutes = 6 : 36 A.M.
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An electronic device makes a beep after every 12 minutes. Another devi...
Explanation:
Step 1: Finding the LCM of 12 and 18
To find out when both devices will beep together again, we need to find the least common multiple (LCM) of 12 and 18.
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 18: 1, 2, 3, 6, 9, 18
The common factors are 1, 2, 3, and 6. So, the LCM of 12 and 18 is 36.
Step 2: Determining the time of next beep
Since both devices beeped together at 6 a.m., the next time they will beep together will be after 36 minutes.
Adding 36 minutes to 6 a.m.:
6:00 a.m. + 36 minutes = 6:36 a.m.
Therefore, the next time both devices will beep together is at 6:36 a.m.
So, the correct answer is option C) 6.3 a.m.
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