Question

These two maps show the same area at two different scales. Colombus is not on Map A. Scale on Map A, 1 cm = 40 mi. Map B does not have a scale written on it. Riverside and Gladville are 6.8 cm apart on Map A. Riverside and Gladville are 3.4 cm apart on Map B. Gladville and Columbus are 1.8 cm apart on Map B. Determine the straight line distance, in miles, from Gladville to Columbus. ​

Answer 1

144 miles

Explanation:

The scale of map B is (3.4 cm)/(6.8 cm) = 1/2 that of map A. Then the distance (d) between the cities is ...

(1.8 cm)/d = (1/2)·(1 cm)/(40 mi)

Multiplying by d·80 mi, we get ...

144 mi·cm = d cm

Dividing by cm, we have ...

144 mi = d

The distance from Gladville to Columbus is 144 miles.