A certain road map indicates that two cities are 150 km apart. If the scale on the map is .25 cm = 30 km, and if the road between the two cities is straight, how far apart, in cm, are the cities shown on the map?

Answer 1

Given that the scale on the map is 0.25 cm = 30 km, we can find how many centimeters represent 150 km by setting up a proportion:

0.25 cm / 30 km = x cm / 150 km

To solve for x, cross-multiply:

30 km * x cm = 0.25 cm * 150 km

Divide both sides by 30 km:

x cm = (0.25 cm * 150 km) / 30 km

Simplify:

x cm = 1.25 cm

Therefore, the cities are shown as 1.25 cm apart on the map