Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

On a map with a scale of 1 inch = 80 miles, what is the distance in miles between two cities that are 3 1/5" apart?

1. 240 miles

2. 256 miles

3. 300 miles

4. 320 miles

The correct answer is: 256 miles

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