There are two different maps of Pennsylvania. The scale of the first map is 1 cm to 20 km . The distance from Pittsburgh to Philadelphia on the map is 20 cm . The scale of the second map is 1 cm to 40 km What is the distance from Pittsburgh to Philadelphia in cm on the 2 nd map?

To find the distance from Pittsburgh to Philadelphia on the second map, we first need to determine the actual distance between the two cities based on the first map. The scale of the first map is 1 cm to 20 km. Since the distance on the first map is 20 cm, we can calculate the actual distance as follows: \[ \text{Actual distance} = \text{Distance on map} \times \text{Scale factor} \] \[ \text{Actual distance} = 20 \, \text{cm} \times 20 \, \text{km/cm} = 400 \, \text{km} \] Now that we know the actual distance between Pittsburgh and Philadelphia is 400 km, we can use the scale of the second map (1 cm to 40 km) to find the distance on that map. Using the same formula, we can rearrange it to find the distance on the second map: \[ \text{Distance on second map} = \frac{\text{Actual distance}}{\text{Scale factor}} \] \[ \text{Distance on second map} = \frac{400 \, \text{km}}{40 \, \text{km/cm}} = 10 \, \text{cm} \] Therefore, the distance from Pittsburgh to Philadelphia on the second map is **10 cm**.