AFCT Arithmetic Reasoning Practice Test 2025 – Comprehensive Exam Prep

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If 3/16 of an inch represents 15 miles, how many inches represent 20 miles?

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To determine how many inches represent 20 miles when 3/16 of an inch corresponds to 15 miles, we need to find the relationship between inches and miles.

First, calculate how many inches represent one mile. Since 3/16 inch corresponds to 15 miles, you can express this as a ratio:

1 inch corresponds to \( \frac{15 \text{ miles}}{\frac{3}{16} \text{ inch}} = 15 \times \frac{16}{3} = 80 \text{ miles} \).

Now we want to find out how many inches correspond to 20 miles. To do this, we set up a proportion based on the relationship established:

If 1 inch = 80 miles, then for 20 miles:

\[

\text{Inches} = \frac{20 \text{ miles}}{80 \text{ miles/inch}} = \frac{20}{80} = \frac{1}{4} \text{ inches}.

\]

Hence, the amount of inches that represent 20 miles is exactly 1/4 inch. This is why the correct answer is 1/4, as it accurately represents the ratio derived from the initial measurements,

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