If the scale of a map is 2cm to 1km, what is the ground distance if the distance between two towns on the map is 20cm?
Question 1 Report
If the scale of a map is 2cm to 1km, what is the ground distance if the distance between two towns on the map is 20cm?
Answer Details
The given scale of the map is 2cm to 1km. This means that for every 2cm on the map, the real distance on the ground is 1km.
Now, if the distance between two towns on the map is 20cm, we need to find the real distance between those two towns on the ground.
Using the scale, we know that 2cm on the map represents 1km on the ground. So, we can set up a proportion:
2cm on the map is to 1km on the ground as 20cm on the map is to x km on the ground.
Mathematically, we can write it as:
2 cm / 1 km = 20 cm / x km
Simplifying this, we get:
x = (20 cm * 1 km) / 2 cm
x = 10 km
Therefore, the real distance between the two towns on the ground is 10km.
So, the correct answer is: 10km.
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