Question

Twenty two men can complete a piece of work in $17$ days. They work for $2$ days. How many more men should now be employed so as to complete the work in another $10$ days?

• A. $11$
• B. $22$
• C. $33$
• D. None of these

Answer 1

Answer: (A)

$11$

Amount of work $22$ men can do in $1$ day $=\frac{1}{17}$
So, Amount of work $22$ men can do in $2$ day $=\frac{2}{17}$
Fraction of work left $=\frac{12}{17=}\frac{15}{17}$
That is, $1$ work done $=22\times 17$
So, $\frac{15}{17}$ work done $=22\times 17\times \frac{15}{17}$

Men required to complete the work in another $10$ days.
So, as per question, we have
$22\times 17\times \frac{15}{17}=10\times x$
$\Rightarrow x=33$
So, $11$ more men will be required.