We appreciate your visit to A light flashes every 15 minutes A second light flashes every 18 minutes Both lights flash together at 2 a m What will be the. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
3:30 a.m.
Step-by-step explanation:
LCM of 15 and 18 = 90.
90 minutes after 2 a.m. = 3:30 a.m.
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Step-by-step explanation:
the smallest common multiple of 15 and 18 gives us the answer.
the get the smallest common multiple we typically use prime factoring :
15 ÷ 2 no
15 ÷ 3 = 5
5 ÷ 3 no
5 ÷ 5 = 1 finish
18 ÷ 2 = 9
9 ÷ 2 no
9 ÷ 3 = 3
3 ÷ 3 = 1 finish
15 = 3×5
18 = 2×3×3
the smallest common multiple is the combination of the longest streaks per prime factor.
1 time 2, 2 times 3, 1 time 5
2×3×3×5 = 90
so, every 90 minutes they flash together.
that means the next time after 2 am would be
2 am + 90 minutes = 3:30 am
