The traffic lights at three different road crossings change after every 48 seconds, 72 seconds, and 108 seconds resp. If they change simultaneously at 8 a.m. at what time will they change together again.
Answers
Answer:
8.07.12 am
Step-by-step explanation:
Find the Prime Factors:
48 = 2⁴ x 3
72 = 2³ x 3²
108 = 2² x 3³
Find the LCM:
LCM = 2⁴ x 3³
LCM = 16 x 27 = 432
Convert 432 seconds to mins:
432 seconds = 432 ÷ 60 mins
432 seconds = 7.2 mins
7.2 mins = 7 mins 12 seconds
Find the time it will change together again:
8 am + 7 mins 12 seconds = 8.07.12 am
Answer: It will change together again at 8.07.12 am
Answer:
Find the Prime Factors:
48 = 2⁴ x 3
72 = 2³ x 3²
108 = 2² x 3³
Find the LCM:
LCM = 2⁴ x 3³
LCM = 16 x 27 = 432
Convert 432 seconds to mins:
432 seconds = 432 ÷ 60 mins
432 seconds = 7.2 mins
7.2 mins = 7 mins 12 seconds
Find the time it will change together again:
8 am + 7 mins 12 seconds = 8.07.12 am
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