Question

A tap takes 10 minutes to fill a bucket of 20 litres. If the number of taps is increased to 4, then how much time will it take to fill 4 identical buckets of 10 litres each?

• A. 15 mins
• B. 25 mins
• C. 18 mins
• D. 20 mins

Answer 1

The correct option is D 20 mins

Given, the time taken to fill a bucket of 20 litres is 10 mins.
And, the total capacity of 4 buckets of 10 litres each = 4 $\times$ 10 = 40 litres.

We know that if the volume increases, then, the time taken to fill will also increase.

$\text{So, Number of litres}\left(x\right)\propto \text{Time}\left(y\right)$
$\therefore \frac{x_1}{y_1}=\frac{x_2}{y_2}$

Given,
$x_1=20litres$
$y_1=10mins$
$x_2=40litres$
$\text{and}{y}_2=\text{time taken to fill 4 buckets}$
$\Rightarrow \frac{20}{10}=\frac{40}{y_2}$
$\Rightarrow y_2=\frac{40\times 10}{20}=20mins$