Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

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

1. 1/2

2. 1/4

3. 1/8

4. 3/8

The correct answer is: 1/4

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,