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 8:20:008:20:00, then at what time will they again change simultaneously ?

Updated On: Jan 30, 2025
  • 8:20:08hrs8:20:08 hrs
  • 8:24:10hrs8:24:10 hrs
  • 8:27:12hrs8:27:12hrs
  • 8:30:15hrs8:30:15hrs
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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(48,72,108)=432
They will all change simultaneously after 432 seconds = 7 min 12 seconds
\thereforeTime they will change again = 8:20:00+00:07:12=8:27:12 8:20:00 + 00:07:12 = 8:27:12 hours
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