Question

the traffic lights at three different road Crossings change after every 48 seconds, 72 seconds and 108 seconds respectively. If they change simultaneously at 7a.m. at what time will they change again simultaneously
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Answer 1

Answer:

We know that in order to find the time when the three lights will change simultaneously again after 7 a.m., we need to find the LCM of 48, 72, and 108. Hence, after converting 432 seconds into minutes and seconds, we get: 432 seconds = 7 minutes and 12 seconds.

Step-by-step explanation:

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Answer 2

Answer:

7 minutes 12 seconds past 7 a.m.

Step-by-step explanation:

LCM of 48 seconds, 72 seconds and 108 seconds.

48 = 2×2×2×2×3

72 = 2×2×2×3×3

108 = 2×2×3×3×3

LCM= 2×2×2×2×3×3×3

= 432

Now,

1 minute = 60 seconds

So, divide 432 by 60...

We will get 7.2 seconds..

Now,

1 minute = 60 seconds

So, 7 minutes = 7×60 seconds= 420 seconds.

Now, Subtract 432 and 420...

= 4 3 2

- 4 2 0

0 1 2

☆Hence, 432= 7 minutes 12 seconds...

So, at 7 minutes 12 seconds past 7 a.m., they will change simultaneously again...

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