Question

Weverton Cliffs is a hiking trail in Maryland. This trail is 3 inches long on a map that has a scale of 7 ½ inches = 15 miles.

If Sarah hikes Weverton Cliffs from beginning to end and returns along the same trail, what is the total distance she hikes?

Answer 1

The total distance Sarah hikes along the Weverton Cliffs trail is 12 miles.

Step-by-step explanation:

To find the total distance Sarah hikes along the Weverton Cliffs trail, we need to calculate the actual distance represented by the 3-inch length on the map. The map scale is given as 7 ½ inches = 15 miles. We can set up a proportion to find the actual distance:

7 ½ inches / 15 miles = 3 inches / x miles

Cross multiplying, we get:

7 ½ * x = 15 * 3

Simplifying, we get:

x = (15 * 3) / 7 ½

= 45 / 7 ½

= 45 * (2/15)

= 6

Therefore, the actual distance Sarah hikes is 6 miles. Since she hikes from beginning to end and returns along the same trail, the total distance she hikes is 6 miles + 6 miles = 12 miles.