Question

A pipe supplies 30 litres of water every 10 mins. If the pipe fills a tank in 2 hours, then what is the capacity of the tank in litres?

• A. 400 litres
• B. 354 litres
• C. 360 litres
• D. 300 litres

Answer 1

The correct option is C 360 litres

Given, a pipe supplies 30 litres of water every 10 mins.

We know that larger is the capacity of the tank, the time taken by the pipe to fill the tank will be more.

So,

$\text{Capacity of tank}\left(x\right)\propto \text{time taken(y)}$

$\therefore \frac{x_1}{y_1}=\frac{x_2}{y_2}$

Given,
$x_1=30litres$
$y_1=10mins$
$y_2=2\times 60=120mins$
$\text{and}{x}_2=\text{capacity of the tank}$

$\therefore \frac{30}{10}=\frac{x_2}{120}$

$\Rightarrow x_2=\frac{30\times 120}{10}=360$

Hence, the capacity of the tank is 360 litres.