Question

5 masons built a wall in 2 days. If the wall was to be built in a single day, then how many masons should be employed?

• A. 9 masons
• B. 12 masons
• C. 8 masons
• D. 10 masons

Answer 1

The correct option is D 10 masons

Given,
A wall is built in 2 days by 5 masons.

We know that the lesser the number of days to build, more will be the number of masons required.

$\text{So, Number of days}\left(x\right)\propto \frac{1}{\text{Number of masons}\left(y\right)}$

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

Given,
$x_1=2\text{days}$
$y_1=5\text{masons}$
$x_2=1\text{day}$
$\text{and}{y}_2=\text{number of masons required}$

$\Rightarrow \frac{2}{1}=\frac{y_2}{5}$
$\Rightarrow y_2=\frac{2\times 5}{1}=10\text{masons}$

$\therefore$ 10 masons should be employed to build a wall in a single day.