The distance between two cities on a map is 15 inches. If the scale is 0.25 inches = 3 miles, how many miles apart are the actual cities?
If 0.25 inches represents 3 miles, we have that 1 inch represents 12 miles. Therefore, 15 inches represents $\boxed{180\text{ miles}}$.
180miles
Level 3
Prealgebra
Problem: The distance between two cities on a map is 15 inches. If the scale is 0.25 inches = 3 miles, how many miles apart are the actual cities?
Solution:<|START_OF_LATENT|><|PRIOR_PREFIX|>To find the actual distance between the two cities, we first need to understand the scale provided. The scale indicates that 0.25 inches on the map corresponds to 3 miles in reality. 

Next, we determine how many 0.25-inch segments fit into the total distance of 15 inches. This is calculated by dividing the total distance by the scale distance: 

15 inches / 0.25 inches = 60 segments.

Now, we know that each segment represents 3 miles. To find the total distance in miles, we multiply the number of segments by the distance each segment represents:

60 segments * 3 miles/segment = 180 miles.

Thus, the actual distance between the two cities is 180 miles.<|END_OF_LATENT|> The final answer is $180miles$.