To find the actual distance represented by 1 centimetre on a map with a scale of 1:240000, we need to convert the given scale into a more useful format.
The scale 1:240000 means that 1 centimetre on the map corresponds to 240000 centimetres in reality.
Now, we will convert centimetres to kilometres. We know that:
1 kilometre = 100000 centimetres
So, we need to convert 240000 centimetres to kilometres:
[tex]\[
240000 \text{ centimetres} \div 100000 \text{ centimetres per kilometre} = 2.4 \text{ kilometres}
\][/tex]
Therefore, the actual distance represented by 1 centimetre on the map is:
[tex]\[
\boxed{2.4 \text{ kilometres}}
\][/tex]
