Question

The scale of a map is given as $1:30000000$. Two cities are $4$cm apart on map. Find the actual distance between them.

• A. $1200$ km
• B. $900$ km
• C. $1100$ km
• D. $1000$ km

Answer 1

The correct option is A $1200$ km

Let the map distance be $x$ cm and actual distance be $y$ cm, then $1:30000000=x:y$.
$\Rightarrow \frac{1}{3\times {10}^7}=\frac{x}{y}$
Since $x=4$,

$\Rightarrow \frac{1}{3\times {10}^7}=\frac{4}{y}$
$\Rightarrow y=4\times 3\times {10}^7$

$=12\times {10}^{7}cm=1200km$

Thus, two cities which are $4$ cm apart on the map, are actually $1200$ km away from each other.