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Ratios, rates, proportional relationships, and units SAT question

Math · Problem-Solving and Data Analysis · Medium · Answer it here, explanation included.

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

Enter a number or fraction (like 3/17 or 0.176). Press Enter to check.

ExplanationShow

The correct answer is . It’s given that the first moon orbits the planet every days. Therefore, it takes the first moon , or , days to orbit the planet times. It’s also given that the second moon orbits the planet every days. Therefore, it takes the second moon , or , days to orbit the planet times. Since it takes the first moon days and the second moon days, it takes the second moon , or , more days than it takes the first moon to orbit the planet times.

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