the traffic lights at three different road crossings change after every 48 seconds, 72 seconds and 108 seconds respectively. if they change simultaneously at 7 a.m.,at what time will they change simultaneously again?
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Answer:
yed
Step-by-step explanation:
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Answered by
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Answer:
7 minutes 12 seconds Past 7 a.m.
Step-by-step explanation:
LCM of 48 seconds, 72 seconds and 108 seconds.
48 = 2×2×2×2×3
72 = 2×2×2×3×3
108 = 2×2×3×3×3
LCM= 2×2×2×2×3×3×3
= 432
Now,
1 minute = 60 seconds..
So, divide 432 by 60...
We will get 7.2 seconds..
Now,
1 minute = 60 seconds
So, 7 minutes = 7×60 seconds= 420 seconds.
Now, Subtract 432 and 420...
= 4 3 2
- 4 2 0
0 1 2
☆Hence, 432= 7 minutes 12 seconds...
So, at 7 minutes 12 seconds past 7 a.m., they will change simultaneously again...
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