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Problem-Solving and Data Analysis / Ratios, rates, proportional relationships, and units Difficulty: Medium

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?

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Explanation

The correct answer is $1,015$ . It’s given that the first moon orbits the planet every $252$ days. Therefore, it takes the first moon $252 left parenthesis 29 right parenthesis$ , or $7,308$ , days to orbit the planet $29$ times. It’s also given that the second moon orbits the planet every $287$ days. Therefore, it takes the second moon $287 left parenthesis 29 right parenthesis$ , 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 $8,323 minus 7,308$ , or $1,015$ , more days than it takes the first moon to orbit the planet $29$ times.