SOLUTION: Imagine a planet with 3 moons. Moon A completes its revolution around the planet in just 7 hours. Moon B takes 12 hours to orbit the planet, and Moon C takes 16 ours. Supose tha

Question 659894: Imagine a planet with 3 moons. Moon A completes its revolution around the planet in just 7 hours. Moon B takes 12 hours to orbit the planet, and Moon C takes 16 ours. Supose that at noon on May 13 they are all alined up. When will they next all be lined up in that position?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Imagine a planet with 3 moons. Moon A completes its revolution around the planet in just 7 hours. Moon B takes 12 hours to orbit the planet, and Moon C takes 16 ours. Supose that at noon on May 13 they are all alined up. When will they next all be lined up in that position?
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It's the least common multiple of the 3 times.
= 336 hours = 2 weeks
--> noon on May 27

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