Question

If 28 men can do a piece of work in 7 days, then how many men are required to complete that work in 4 days?

• A. 45 men
• B. 42 men
• C. 50 men
• D. 49 men

Answer 1

The correct option is D 49 men

Given,
28 men can do a piece of work in 7days.

We know that if the work is needed to be completed in less days, then the number of men required will be more.

$\text{So, Number of days}\left(x\right)\propto \frac{1}{\text{Number of men}\left(y\right)}$
$\therefore \frac{x_1}{x_2}=\frac{y_2}{y_1}$

Given,
$x_1=7days$
$y_1=28men$
$x_2=4days$
$\text{and}{y}_2=\text{Number of men required to}\text{finish the work in 4 days}$
$\Rightarrow y_2=\frac{x_1\times y_1}{x_2}$
$\Rightarrow y_2=\frac{7\times 28}{4}=49men$

Hence, 49 men are required to complete that work in 4 days.