Question

A map is drawn to scale, with 1 centimeter on the map representing 5 kilometers. If two towns are 30 centimeters apart on the map, what is the actual distance between the two towns?

a. 60 kilometers
b. 150 kilometers
c. 25 kilometers
d. 180 kilometers

Answer 1

To find the actual distance between two towns that are 30 centimeters apart on a map with a scale of 1 cm representing 5 km, multiply the map distance by the scale factor, resulting in an actual distance of 150 kilometers.

Step-by-step explanation:

If a map is drawn to scale, with 1 centimeter on the map representing 5 kilometers, then to calculate the actual distance between two towns that are 30 centimeters apart on the map, we use the following steps:

1. Understand the scale: 1 cm represents 5 km.
2. Find the total distance by multiplying the map distance by the scale factor: 30 cm × 5 km/cm.
3. Calculate the actual distance: 30 × 5 = 150 km.

Therefore, the actual distance between the two towns is 150 kilometers.