Question

the traffic lights at three different road Crossings change after every 48 seconds 72 seconds and 108 seconds respectively if they all changes simultaneous Lee at 8:00 a.m. then at what time they will again change simultaneous​

Answer 1

Answer:

7:07:12am

Step-by-step explanation:

time period after which these lights will change= lcm of 48,72,108

Given that traffic light at three different road crossing change after every 48 seconds,72 seconds and 108 seconds respectively.

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 is (2 × 2 × 2 × 2 × 3 × 3 × 3)

= 432

That is after 432 seconds they will change simultaneously

432 seconds = 7 min 12 seconds

Thus the traffic lights change simultaneously at 7:7:12 am

Answer 2

7:07:12am

Step-by-step explanation:

time period after which these lights will change= lcm of 48,72,108

Given that traffic light at three different road crossing change after every 48 seconds,72 seconds and 108 seconds respectively.

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 is (2 × 2 × 2 × 2 × 3 × 3 × 3)

= 432

That is after 432 seconds they will change simultaneously

432 seconds = 7 min 12 seconds

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