Discussion
If the distance between two points on the ground is 25 km and the distance between the same two points on a map is 10 cm, then the Representative Fraction (RF) scale of the map is ..........
Answer: C
The RF scale is 1 : 250000.
Convert both distances to the same unit and divide:
\[ \begin{aligned} 25\ \text{km} &= 25 \times 100000\ \text{cm} \\ &= 2500000\ \text{cm} \\ \text{RF} &= \frac{10}{2500000} = \frac{1}{250000} \end{aligned} \]
So 1 cm on the map represents 2.5 km on the ground. 1 : 2500000 is what you get by forgetting to divide by the 10 cm of map distance, and 1 : 25000 or 1 : 2500 come from errors in the number of zeros when converting kilometres to centimetres.
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