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

An insect moves at a speed of $\frac{3}{20}$ feet per second. What is this speed, in yards per second? $left parenthesis 3 feet equals 1 yard right parenthesis$

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Explanation

Choice A is correct. It’s given that $3 feet equals 1 yard$ . It follows that a speed of $\frac{3}{20}$ feet per second is equivalent to $(\frac{\frac{3}{20} feet}{1 second}) (\frac{1 yard}{3 feet})$ , which is equivalent to $(\frac{3}{20}) (\frac{1}{3})$ , or $\frac{1}{20}$ , yards per second.

Choice B is incorrect. This is the speed, in feet per second, that's equivalent to $\frac{3}{20}$ yards per second.

Choice C is incorrect. This is the speed, in yards per second, that's equivalent to $18$ , not $\frac{3}{20}$ , feet per second.

Choice D is incorrect. This is the speed, in yards per second, that's equivalent to $60$ , not $\frac{3}{20}$ , feet per second.