Answer:
75miles
Step-by-step explanation:
Let A be the location of Asheville, B be the location of Boulder and W be the location of wellspring.
If well spring is located exactly halfway between Asheville and Boulder, then;
AW + WB = AB
If Asheville and Boulder are 2.5 inches apart on a map, then AB = 2.5 inches
The actual distance from wellspring to Boulder is WB
Since W is the midpoint of A and B, then AW = WB. The equation becomes;
WB + WB = AB
2WB = AB
WB = AB.2
WB = 2.5/2
WB = 1.25 inches
Hence the distance from wellspring to Boulder is 1.25inches.
Since 0.5 inches = 15 miles on the map,
1.25inches = x
Cross multiply;
0.5x = 15 * 1.25
0.5x = 18.75
x = 18.75/1.25
x = 75miles
Hence the actual distance from wellspring to Boulder is 75miles
