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# help needed

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A horse 24 feet from the center of a merry-go-round makes 32 revolutions. In order to travel the same distance, how many revolutions would a horse 18 feet from the center have to make?

Aug 5, 2021

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How many revolutions would a horse 18 feet from the center have to make?

Hello Guest!

$$way=\\ 2\pi r_1\cdot n=2\pi r_2\cdot x\ |\ :2\pi\\ 24ft\cdot 32=18ft\cdot x\ |\ :18ft\\ \dfrac{24ft\cdot 32}{18ft}=x$$

$$x=42,\overline 6$$

The horse would have to do 42 2/3 revolutions.

!

Aug 5, 2021