Question

A work can be done by 32 men in 11 days. 10 of them did not join the work. How long will it take now to complete the work?

• A. 12 days
• B. 15 days
• C. 16 days
• D. 12 days

Answer 1

The correct option is C 16 days

Given, 32 men can complete a work in 11 days.
Also, 10 men did not join for the work.
Hence, the number of men available for the work
= (32 - 10) = 22 men

We know that, if the number of men at work decreases, then the number of days taken to complete the work increases.

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

Given,
$x_1=32\text{men}$
$y_1=11\text{days}$
$x_2=22\text{men}$
$\text{and,}{y}_2=\text{number of days}$

$\Rightarrow y_2=\frac{x_1\times y_1}{x_2}$
$\Rightarrow y_2=\frac{32\times 11}{22}=16\text{days}$