Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

To determine the distance between the two cities based on the map's scale, we begin by converting the measurement of the distance on the map into an actual distance using the provided scale of 1 inch = 80 miles.

First, we need to convert the distance of 3 1/5 inches into an improper fraction for easier calculations. The mixed number 3 1/5 can be expressed as:

3 1/5 = 3 + 1/5 = (3 * 5 + 1) / 5 = (15 + 1) / 5 = 16/5 inches.

Next, we will calculate the actual distance by multiplying the distance on the map by the conversion factor from inches to miles. This is done as follows:

Distance in miles = Distance on map (in inches) × 80 miles/inch.

Substituting the distance we have:

Distance in miles = (16/5) inches × 80 miles/inch.

To simplify further, we multiply:

Distance in miles = (16 × 80) / 5 miles.

Calculating this gives:

Distance in miles = 1280 / 5 miles = 256 miles.

Thus, the distance between the two cities that