Question
The scale on a road map is 1 inch = 25 miles. If the measured distance on the map between two cities is 1.7 inches, what is the actual distance in miles?
0.068 miles
42.5 miles
26.7 miles
Answers
GPT-4o mini
To find the actual distance between the two cities, you can use the scale given on the map. The scale states that 1 inch on the map equals 25 miles in reality.
If the measured distance on the map is 1.7 inches, you can calculate the actual distance by multiplying the map distance by the scale factor:
\[
\text{Actual distance} = \text{Map distance} \times \text{Scale factor}
\]
Substituting the values in:
\[
\text{Actual distance} = 1.7 \, \text{inches} \times 25 \, \text{miles/inch} = 42.5 \, \text{miles}
\]
Hence, the actual distance between the two cities is **42.5 miles**.
If the measured distance on the map is 1.7 inches, you can calculate the actual distance by multiplying the map distance by the scale factor:
\[
\text{Actual distance} = \text{Map distance} \times \text{Scale factor}
\]
Substituting the values in:
\[
\text{Actual distance} = 1.7 \, \text{inches} \times 25 \, \text{miles/inch} = 42.5 \, \text{miles}
\]
Hence, the actual distance between the two cities is **42.5 miles**.