Question

$P$ is $30\%$ more efficient than $Q.P$ can complete a work in $23$ days. If $P$ and $Q$ work together, how much time will it take to complete the same work?

• A. 9
• B. 11
• C. 13
• D. 15

Answer 1

The correct option is C 13

Work done by $P$ in $1$ day$=\frac{1}{23}$

Let work done by $Q$ in $1$ day$=q$

$q\times \frac{130}{100}=\frac{1}{23}$

$\Rightarrow q=\frac{100}{23\times 130}=\frac{10}{23\times 13}$

Work done by $P$ and $Q$ in $1$ day$=\frac{1}{23}+\frac{10}{23\times 13}=\frac{23}{23\times 13}=\frac{1}{13}$

$\therefore P$ and $Q$ together can do the work in $13$ days.