Question

$A$ can finish a work in $18$ days and $B$ can do the same work in half the time taken by $A$. What part of the same work can they finish in a day, working together?

• A. $\frac{1}{6}$
• B. $\frac{2}{5}$
• C. $\frac{1}{9}$
• D. $\frac{2}{7}$

Answer 1

The correct option is A $\frac{1}{6}$

$A$ can finish a work in $18$ days.
$\Rightarrow B$ can finish the same work in $9$ days.
$A$'s 1 days' work $=\frac{1}{18}$

$B$'s 1 days' work $=\frac{1}{9}$
$\therefore (A+B)$'s 1 days' work $=\frac{1}{18}+\frac{1}{9}=\frac{1+2}{18}=\frac{3}{18}=\frac{1}{6}$.