Radha is travelling from her village to another village. The distance between the villages is $35\frac{3}{4} \mathrm{km}$. She stops for rest after covering a distance $24\frac{1}{3} \mathrm{km}$. How much distance does she need to cover to reach the other village?

Distance between the two villages =$35\frac{3}{4} \mathrm{km}$

Distance covered by Radha =$24\frac{1}{3} \mathrm{km}$

∴ Distance left to be covered $=\left(35\frac{3}{4}-24\frac{1}{3}\right) \mathrm{km}$

$=\frac{143}{4}-\frac{73}{3}$

$=\frac{143\times 3}{4\times 3}-\frac{73\times 4}{3\times 4}$

$=\frac{429-292}{12}$

$=\frac{137}{12}$

$=11\frac{5}{12} \mathrm{km}$

Thus, Radha needs to cover a distance of $11\frac{5}{12} \mathrm{km}$ to reach the other village.