CBSE Class 10 Answered
Traffic light at three different road crossing change after every 56sec,72 sec and 126sec respectively. If they change simultaneously at 9 am at what time will they change simultaneously again? Write the importance of traffic lights.
Asked by prachijainskb20 | 11 Jun, 2020, 04:08: AM
Expert Answer
This can be solved using the LCM concept.
The traffic light at three different road crossing change after every 56 sec, 72 sec and 126 sec respectively.
So, we need to find the LCM of 56, 72 and 126
56 = 2 x 2 x 2 x 7
72 = 2 x 2 x 2 x 3 x 3
126 = 2 x 3 x 3 x 7
LCM = 2 x 2 x 2 x 3 x 3 x 7 = 504
504 seconds = 504/60 = 8 24/60 minutes = 8 minutes 24 seconds
Hence, the traffic lights change simultaneously again at 9 hours 8 minutes 24 seconds.
Answered by Renu Varma | 12 Jun, 2020, 01:16: PM
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