Question:

The traffic lights at three different road crossings change after every 48 sec., 72 sec. and 108 sec., respectively. If they all change simultaneously at hours \(8:20:00\), then at what time will they again change simultaneously ?

Updated On: Oct 4, 2024
  • \(8:20:08 hrs\)
  • \(8:24:10 hrs\)
  • \(8:27:12hrs\)
  • \(8:30:15hrs\)
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The Correct Option is C

Solution and Explanation

The correct option is (C): L.C.M of \((48,72,108)=432\)
They will all change simultaneously after 432 seconds = 7 min 12 seconds
\(\therefore\)Time they will change again = \( 8:20:00 + 00:07:12 = 8:27:12\) hours
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