The scale on a map is $1\,\text{cm} : 50\,\text{km}$. If two cities are $7.5\,\text{cm}$ apart on the map,…

The scale on a map is $1\,\text{cm} : 50\,\text{km}$. If two cities are $7.5\,\text{cm}$ apart on the map, what is the actual distance?
  1. $300\,\text{km}$
  2. $350\,\text{km}$
  3. $375\,\text{km}$
  4. $425\,\text{km}$

Solution

Map distance and actual distance are directly proportional. $7.5 \times 50 = 375\,\text{km}$.

Asked in: IMO

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