Response:
Choice A: 51 miles, 45 miles
Detailed breakdown:
The distance from New Wilmington to Sharon via Mercer is calculated as
Distance from New Wilmington to Mercer + Distance from Mercer to Sharon
= 2 + 2.25
= 4.25 in.
The given conversion is
1 in = 12 miles
Thus, 4.25 in. equals 12×4.25 miles
= 51 miles
Hence, the true distance from New Wilmington to Sharon through Mercer is 51 miles.
Next, we must calculate the actual distance from New Wilmington to Sharon via Volant.
Distance from New Wilmington to Volant = 1 in.
and the distance from Volant to Sharon = 2.75 in.
The combined distance from New Wilmington to Sharon via Volant = 2.75 + 1 = 3.75 in.
Using the conversion table for the actual distance:
∵ 1 in. distance = 12 miles
∴ 3.75 in distance = 12×3.75 = 45 miles
Consequently, Option A. 51 miles and 45 miles represents the solution.