## The traffic lights at three different road crossings change after every 48 seconds,72 seconds and 108 seconds respectively. If they change s

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 7 a.m., at what time will they change simultaneously again?

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2021-10-12T16:16:54+00:00
2021-10-12T16:16:54+00:00 2 Answers
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## Answers ( )

Answer:Time= 7:07:12 a.m

Step-by-step explanation:First we will find the LCM of 48,72,108.

LCM= 432.

Now we will convert 432 second in minutes.

432÷60minutes

7minutes and 12 seconds.

It will simultaneously again in after 7minutes and 12 seconds.

HOPE IT IS HELPFUL TO YOU….

Answer:The traffic light at three different road crossing change after every 48 seconds,72 seconds and 108 seconds respectively.

So let us take the LCM of the given time that is 48 seconds, 72 seconds, 108 seconds

⇒ 48 = 2 × 2 × 2 × 2 × 3

⇒ 72 = 2 × 2 × 2 × 3 × 3

⇒ 108 = 2 × 2 × 3 × 3 × 3

Hence LCM of 48, 72 and 108 = (2 × 2 × 2 × 2 × 3 × 3 × 3)

LCM of 48, 72 and 108 = 432

So after 432 seconds they will change simultaneously

We know that

60 seconds = 1 minute

so on dividing 432 / 60 we get 7 as quotient and 12 as reminder

Hence, 432 seconds = 7 min 12 seconds

∴ The time = 7 a.m. + 7 minutes 12 seconds

Hence the lights change simultaneously at 7:07:12 a.m

Step-by-step explanation: