Question

Sharda can walk $8\frac{1}{3}\mathrm{km}$ in one hour. How much distance will she cover in $2\frac{2}{5}$ hours?

Answer 1

$$\begin{gathered} 8\frac{1}{3}\mathrm{km}=\frac{(8\times 3)+1}{3} \\ \Rightarrow 8\frac{1}{3}\mathrm{km}=\frac{25}{3}\mathrm{km} \end{gathered}$$

Distance covered by ​Sharda in 1 hour = $\frac{25}{3}$km
$2\frac{2}{5}\mathrm{hours}=\frac{(2\times 5)+2}{5}=\frac{12}{5}\mathrm{hours}$
Distance covered by Sharda in $\frac{12}{5}\mathrm{hours}$ = Distance covered in 1 hour $\times \frac{12}{5}$
$\Rightarrow$Distance covered by Sharda in $\frac{12}{5}\mathrm{hours}$ = $\frac{25}{3}\times \frac{12}{5}=20\mathrm{km}$