The Earth, Jupiter, Saturn and Uranus revolve around the sun. The Earth takes 1 year, Jupiter takes 12 years, Saturn 30 years, and Uranus 84 years to make a complete revolution. How often will Jupiter and Saturn appear in the same direction in the night sky as seen from Earth? (Hint: you will want to find the LCM of the times it takes Jupiter and Saturn to revolve around the sun.) Hier einiger takes 2 for material yarat: sandwiramente se mantiene maker Jupiter and Saturn will appear in the same direction in the night sky every years.

Question

Mathematics

Harold Patel

24 July, 16:04

The Earth, Jupiter, Saturn and Uranus revolve around the sun. The Earth takes 1 year, Jupiter takes 12 years, Saturn 30 years, and Uranus 84 years to make a complete revolution. How often will Jupiter and Saturn appear in the same direction in the night sky as seen from Earth? (Hint: you will want to find the LCM of the times it takes Jupiter and Saturn to revolve around the sun.) Hier einiger takes 2 for material yarat: sandwiramente se mantiene maker Jupiter and Saturn will appear in the same direction in the night sky every years.

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Answers (1)

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Holden Graves · Answer 1

60 years

Step-by-step explanation:

GCD (12, 30) = 6

LCM (12, 30) = 12·30/GCD (12, 30) = 12·30/6 = 60

It will take 60 years for Jupiter and Saturn to appear in the same direction (again) in the night sky.