On my road three consecutive traffic light changes after 36,42,72 seconds .if the lights first switched on at 9.00.am at what time will they change simultaneously
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Answer:
Step-by-step explanation:
Here, the question asks us 'at what time will they change simultaneously', which means that we need to find LCM.
36 = 2×2×3×3
42 = 2×3×7
72 = 2×2×2×3×3
So, LCM = 2×2×2×3×3×7
So, LCM = 504
Thus, the lights change after every 504 seconds.
And 504 s = 8 min 24 sec
So, the traffic lights will change again at 09:08:24 am
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