The two towns will be 15 centimeters apart on the map.
Here, we are given that a map has a scale factor of 1 : 24 000.
This means that if the distance between two points on the map is say 1 meter then in reality, these two points will be 24,000 meters apart.
Now, we are given that two towns are 3.6 kilometers apart
That is in reality, they are 3.6 km away
Let them be x kilometers away on the map
The ratio of the distances on map and in real life must be equal to 1/24,000
⇒ x/3.6 = 1/24,000
x = 3.6/24,000
x = 0.00015 kilometers
or x = 15 centimeters
Thus, the two towns will be 15 centimeters apart on the map.
Learn more about scale factors here-
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