The traffic light at three different road crossing change after every 48 second ,72 second and 108 second respectively. If they all change simultaneously at 8 am,then at what time will they again change simultaneously give in detail
Answers
Answered by
0
Sorry I don't know this answer
Answered by
0
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
Similar questions