On a map,the scale is 3 centimeters: 120 kilometers. The distance between two cities on the map is 6.8 centimeters. What is the distance between the actual cities in kilometers?
3/120 = 6.8/x
Cross multiply and solve for x.
To find the distance between the actual cities in kilometers, we can set up a proportion using the given scale.
Since the scale is 3 centimeters: 120 kilometers, we can write the proportion as:
3 cm / 120 km = 6.8 cm / x km
Cross-multiplying gives:
3 cm * x km = 120 km * 6.8 cm
Rearranging the equation:
3x = 120 * 6.8
Now, divide both sides of the equation by 3 to solve for x:
x = (120 * 6.8) / 3
Calculating:
x = 272 / 3
Simplifying:
x ≈ 90.67
Therefore, the distance between the actual cities is approximately 90.67 kilometers.
To find the distance between the actual cities in kilometers, we can use the scale provided on the map.
Given that the scale is 3 centimeters on the map represents 120 kilometers in real life, we can set up a proportion to find the relationship between the distances on the map and the actual distances:
3 cm on the map / 120 km in real life = 6.8 cm on the map / x km in real life
Now, we can solve for x:
x = (6.8 cm * 120 km) / 3 cm
x = 816 km / 3
x = 272 km
Therefore, the distance between the actual cities in kilometers is 272 km.