Question

In a map, a distance of 10 km on land is equal to $\frac{1}{10}cm$. If two places are $5\frac{1}{2}cm$ apart on the map, then what is the actual distance between them?

• A. $\frac{2}{11}km$
• B. 50 km
• C. 100 km
• D. 550 km

Answer 1

The correct option is D

550 km

Let $5\frac{1}{2}cm$ represent $xkm$.

Now the problem reduces to $\frac{1}{10}cm:10km::5\frac{1}{2}cm:xkm$

i.e., $\frac{\frac{1}{10}}{10}=\frac{5\frac{1}{2}}{x}$

$⟹\frac{1}{100}=\frac{11}{2x}$

Thus, $x=\frac{11\times 100}{2}$ = 550 km