One of a planet's moons orbits the planet every 252 days. A second moon orbits the planet every 287 days.

Question

One of a planet's moons orbits the planet every 252 days. A second moon orbits the planet every 287 days. How many more days does it take the second moon to orbit the planet 29 times than it takes the first moon to orbit the planet 29 times?

Accepted Answer

The correct answer is 1,015 . It&rsquo;s given that the first moon orbits the planet every 252 days. Therefore, it takes the first moon 252 29 , or 7,308 , days to orbit the planet 29 times. It&rsquo;s also given that the second moon orbits the planet every 287 days. Therefore, it takes the second moon 287 29 , or 8,323 , days to orbit the planet 29 times. Since it takes the first moon 7,308 days and the second moon 8,323 days, it takes the second moon 8,323 - 7,308 , or 1,015 , more days than it takes the first moon to orbit the planet 29 times.

Question one-of