Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

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

1. 1/6 inch

2. 1/4 inch

3. 1/3 inch

4. 1/2 inch

The correct answer is: 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