The traffic lights at three different road crossing

Asked by admin @ 31/08/2021 in Math viewed by 323 People

The traffic lights at three different road crossings change after every 48 seconds, 72 seconds, and 108 seconds resp. If they change simultaneously at 8 a.m. at what time will they change together again.

Answered by admin @ 31/08/2021

Answer:

8.07.12 am

Step-by-step explanation:

Find the Prime Factors:

48 = 2⁴ x 3

72 = 2³ x 3²

108 = 2² x 3³

Find the LCM:

LCM = 2⁴ x 3³

LCM = 16 x 27 = 432

Convert 432 seconds to mins:

432 seconds = 432 ÷ 60 mins

432 seconds = 7.2 mins

7.2 mins = 7 mins 12 seconds

Find the time it will change together again:

8 am + 7 mins 12 seconds = 8.07.12 am

Answer: It will change together again at 8.07.12 am

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