Question

If a pipe can fill a tank of capacity $50l$ in $5$ hours. Then how long will it take to fill a tank of capacity $75l$.

Answer 1

Volume of water in a tank $\propto$ time required to fill it
So here $\frac{x_1}{y_1}=\frac{x_2}{y_2}$ Here $x_1=50l$ $y_1=5hr$ $x_2=75l$ and $y_2?$
$\frac{50}{5}=\frac{75}{x}$ $\Rightarrow$ $x=\frac{75\times 5}{50}=\frac{15}{2}=7\frac{1}{2}$ hr
Time required to fill a tank of capacity $75l$ is $7\frac{1}{2}$ hr