Question

and 108
The
traffic lights at three different
road
crossings chance after every
48 seconds, 72 seconds
seconds respectively. If they changes
simultaneously at 8am., at what time
will they change together
again?
​

Answer 1

Answer:

The

traffic lights at three different

road

crossings chance after every

48 seconds, 72 seconds

seconds respectively. If they changes

simultaneously at 8am., at what time

will they change together

again?

Step-by-step explanation:

Here is your answer

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Answer 2

Answer:

8:07:12 a.m

Step-by-step explanation:

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  = 8 a.m. + 7 minutes 12 seconds

Hence the lights change simultaneously at  8:07:12 a.m