7. 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 8:20:00 hrs then when will they again change
simultaneously at?
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Answer:
Given that traffic light at three different road crossing change after every 48 seconds,72 seconds and 108 seconds respectively.
48 = 2 × 2 × 2 × 2 × 3
72 = 2 × 2 × 2 × 3 × 3
108 = 2 × 2 × 3 × 3 × 3
Taking LCM for,
48, 72 and 108 i.e (2 × 2 × 2 × 2 × 3 × 3 × 3)= 432
We have,
432 seconds = 7 min 12 seconds
Hence,after 7 min and 12 seconds they will blink simultaneously.
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