Question

The length of a road is 600 miles. On a map, if one inch represents 30 miles, what is the length of road on the map?

(A) 20 inches
(B) 30 inches
(C) 40 inches
(D) 60 inches

Answer 1

Using proportions, the length of a 600-mile road on a map where 1 inch represents 30 miles is calculated to be 20 inches, equivalent to option (A).

Step-by-step explanation:

The length of a road is 600 miles, and the map scale is that one inch represents 30 miles. To find the length of the road on the map, set up a proportion comparing the actual distance to the scale distance.

Here is the proportion:
1 inch / 30 miles = x inches / 600 miles

Solving for x (the length on the map), you can multiply both sides of the proportion by 600 miles to get:

600 miles / 30 miles = x inches

This simplifies to x = 600 / 30, thus, x = 20.

Therefore, the length of the road on the map is 20 inches, which corresponds to option (A).