Math, asked by cricketerhimanshu111, 11 months ago

the traffic lights at three different road crossings change after every 50 sec 75 second and 100 seconds respectively. if they start changing simultaneously at 8:00 a.m. after how much time will they change again simultaneously​

Answers

Answered by BrainlyPARCHO
1

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If the traffic lights change simultaneously at 8 a.m, then they will change simultaneously again after the LCM of the duration i.e. 48 s, 72 s and 108 s.

LCM of these durations by prime factorisation

48 = 2 × 2 × 2 × 2 × 3 = 2⁴ × 3

72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3²

108 = 2 × 2 × 3 × 3 × 3 = 2² × 3³

LCM of 48, 72 and 108 is 2⁴ × 3³ = 432 seconds.

Hence, They will change after 432 seconds i.e. 7 minutes 12 seconds.

The traffic lights will change after:

8 am + 7 minutes 12 seconds

08 : 07 : 12 am

Answered by porwalavika079
0

Answer:

5 Minutes

Step-by-step explanation:

The difference between the time intervals:- 50;75 and 100 is 25sec.

Now You Can Easily Calculate The Time Interval

Hope it helps

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