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प्रश्न
The traffic lights at three different road crossings change after every 48 seconds, 72 seconds and 108 seconds. If they change simultaneously at 7 a.m., at what time will they change together next?
संख्यात्मक
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उत्तर
Given: Three traffic lights change every 48 s, 72 s and 108 s and they change together at 7:00:00 AM.
Step-wise calculation:
1. Prime factors:
48 = 24 × 3
72 = 23 × 32
108 = 22 × 33
2. LCM = 24 × 33
= 16 × 27
= 432 seconds.
3. 432 seconds = 7 minutes 12 seconds.
4. Next simultaneous change = 7:00:00 AM + 7 min 12 s = 7:07:12 AM.
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