Question

If 5 men can finish a work in 12 days, then how many men will be required to finish the same work in 5 days?

• A. 10 men
• B. 12 men
• C. 8 men
• D. 15 men

Answer 1

The correct option is B 12 men

Given, a work is done in 12 days by 5 men.

We know that if the number of days decrease, then the number of men required to finish a work will increase.

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

Given,
$x_1=12days$
$y_1=5men$
$x_2=5days$
$\text{and}{y}_2=\text{no. of men required}$
$\Rightarrow 12\times 5=5\times y_2$
$\Rightarrow y_2=\frac{12\times 5}{5}=12men$

Hence, 12 men are required to finish the same work in 5 days.