Question

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

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

Answer 1

Answer: (A)

$\frac{1}{6}$

A can finish a work in $18$ days.
B can finish a work in $9$ days.
So In one day A can finish $\frac{1}{18}$ work.

and In one day B can finish $\frac{1}{9}$ work.
So, working together the work can they finish in a day.
$W=\frac{1}{18}+\frac{1}{9}=\frac{3}{18}=\frac{1}{6}$
Answer is (A) $,\frac{1}{6}$.