Question
Download Solution PDFThe traffic lights at two different road crossings change after every 54 sec and 76 sec, respectively. If they change simultaneously at 10:15:00 hours, then find the time at which they will change again simultaneously.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
The time period of first light = 54 seconds
The time period of the second light = 76 seconds
Concept:
Two events with different periods will coincide again after a time equal to the least common multiple (LCM) of their periods.
Solution:
⇒ LCM of 54 and 76 = 2052 seconds = 34 minutes 12 second
⇒ Add this to the start time of 10:15:00 + 00:34:12
Therefore, the lights will change again simultaneously at 10:49:12.
Last updated on Jul 8, 2025
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