Question

If $36$ men can complete a piece of work in $18$ days. In how many days will $27$ men complete the same amount of work ?

• A. $24$
• B. $36$
• C. $30$
• D. $12$

Answer 1

The correct option is A $24$

Let $27$ men complete the piece of work in $x$ days.
Given : $36$ men can complete a piece of work in $18$ days.
As number of men decreases days require to complete the work will increase.
$\therefore$ It is a case of inverse proportion.
$\Rightarrow 36\times 18=27\times x$
$\Rightarrow x=\frac{36\times 18}{27}=24$ days