Question

the traffic lights at three different road crossings change after every 48 seconds 72 seconds and 108 second sesp it they change simulatancously​

Answer 1

Answer:

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Step-by-step explanation:

Given

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

Answer 2

Answer:

432

Step-by-step explanation:

48=2x2x2x2x3x3

72=2x2x2x3x3

108=2x2x3x3x3

Hence LCM of 48,72 and 108=2x2x2x2x3x3x3

LCM of 48,72 and 108=432

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