AFCT Arithmetic Reasoning Practice Test 2025 – Comprehensive Exam Prep

Question: 1 / 400

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

1/6 inch

1/4 inch

To determine how many inches represent 20 miles, we start with the ratio given, where \( \frac{3}{16} \) inches is equivalent to 15 miles. We can set up a proportion to find how many inches correspond to 20 miles.

First, we need to establish the relationship between the miles and inches. The proportion can be written as:

\[

\frac{3/16 \text{ inches}}{15 \text{ miles}} = \frac{x \text{ inches}}{20 \text{ miles}}

\]

Cross-multiplying gives us:

\[

3/16 \times 20 = 15 \times x

\]

Calculating the left side:

\[

3 \times 20 = 60 \quad \text{thus,} \quad \frac{60}{16} = \frac{15}{4}

\]

Now, substituting back into the equation gives:

\[

\frac{15}{4} = 15x \implies x = \frac{15/4}{15} = \frac{1}{4}

\]

This means that \( \frac{1}{4} \) inch represents 20 miles, confirming that the correct

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1/3 inch

1/2 inch

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