Question

Two cities, Ashville and Boulder, are 2.5 inches

apart on a map. A third city, Wellspring, is
located exactly halfway between Ashville
and Boulder. If the map uses a scale of 0.5
inch = 15 miles, find the actual distance from
Wellspring to Boulder.

Answer 1

To find the distance from Wellspring to Boulder, divide the map distance between Ashville and Boulder by 2 to find the map distance for Wellspring to Boulder (1.25 inches) and then use the scale (0.5 inch = 15 miles) to find the actual distance, which is 37.5 miles.

Step-by-step explanation:

To find the actual distance from Wellspring to Boulder, we first need to understand that Wellspring is located exactly halfway between Ashville and Boulder on the map. The map shows that Ashville and Boulder are 2.5 inches apart, so the distance on the map from Wellspring to Boulder is half of that, which is 1.25 inches. The scale of the map is given as 0.5 inch = 15 miles.

Next, we set up a proportion to solve for the actual distance:

0.5 inch / 15 miles = 1.25 inches / x miles

By cross-multiplying, we get:

0.5x = 1.25(15)

0.5x = 18.75

x = 18.75 / 0.5

x = 37.5

Therefore, the actual distance from Wellspring to Boulder is 37.5 miles.

Answer 2

The distance between W and B is 18.75 mi.

Step-by-step explanation:

2.5 inches converts to

2.5 in 15 mi

------------ * ---------- = 37.5 mi

1 1 in

Half of this distances places us at the midpoint between W and B:

37.5 mi

--------------- = 18.75 mi

2