The traffic lights at three different road crossing change after every 50 sec , 75 sec and respectively . If they start changing simultaneously at 8 am, after how much time will they change again simultaneously.
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Consider the problem
The traffic light at three different road crossing change after every 48seconds,72seconds and 108seconds respectively
So,
48=2×2×2×2×3
72=2×2×2×3×3
108=2×2×3×3×3
Therefore, L.CM of 48,72,108 is
(2×2×2×2×3×3×3)
=432
So, time when they change again =432seconds
But we need to find time after 7am So, first we convert 432seconds into minutes.
Time=432second
=
60
432
minutes
∴Time=7 minutes12 seconds
Thus,
Required time =7am+7minutes 12seconds
=7:07:12am
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