Question
Download Solution PDFAt three distinct road crossings, the traffic lights change after 15, 3, and 45 seconds, respectively. What time will they all change at once again if they all change simultaneously at 11 : 45 : 25 AM?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The traffic lights change after 15, 3, and 45 seconds, respectively.
They all change simultaneously at 11:45:25 AM.
Formula used:
Find the Least Common Multiple (LCM) of the time intervals.
Calculations:
LCM of 15, 3, and 45 seconds
Prime factorization:
15 = 3 × 5
3 = 3
45 = 32 × 5
LCM = 32 × 5 = 45 seconds
⇒ The traffic lights will change simultaneously every 45 seconds.
⇒ Next simultaneous change time = 11:45:25 AM + 45 seconds
⇒ 11:45:25 AM + 45 seconds = 11:46:10 AM
∴ The correct answer is option (4)
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