The traffic lights at 3 different roads change after every 12 seconds, 24 seconds and 72 seconds respectively. If they change simultaneously at 6am, at what time will they change again simultaneously.
please give an easy method
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Answer:
= 6 : 01 : 12 am
Step-by-step explanation:
The traffic light at three different road crossing change after every 12 seconds, 24 seconds and 72 seconds respectively.
So,
12 = 2×2×3
24 = 2×2×2×3
72 = 2×2×2×3×3
Therefore, L.CM of 12, 24, 72 is
= (2×2×2×2×3×3) = 72
So, time when they change again = 72 second
Time = 72second
= 72/60
= 1 min 12 second
Thus,
Required time = 6 am + 1 minutes + 12 seconds
= 6 : 01 : 12 am Ans.
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