Question

If 5 men can do a piece of work in 6 days, then how many men will finish the same work in 5 days?

• A. 5 men
• B. 4 men
• C. 8 men
• D. 6 men

Answer 1

The correct option is D 6 men

Given,
5 men can do a piece of work in 6 days.
Number of days given = 5 days.

We know that if the time is less, then the number of men required to finish a work will be more.
$\text{Number of men}\left(x\right)\propto \frac{1}{\text{Number of days}\left(y\right)}$
$\therefore \frac{x_1}{x_2}=\frac{y_2}{y_1}$

Let,
$x_1=5men$
$y_1=6days$
$y_2=5days$
$\text{and,}{x}_2=\text{Number of men required}$

$\Rightarrow \frac{5}{x_2}=\frac{5}{6}$
$\Rightarrow x_2=\frac{5\times 6}{5}=6men$