Question

$X$ can do a piece of work in $24$ days, while $Y$ alone can do it in $16$ days. With the help of $Z$ they finish the work in $8$ days.
Find in how many days $Z$ can do the work alone?

• A. $48$ days
• B. $36$ days
• C. $24$ days
• D. $12$ days

Answer 1

The correct option is A $48$ days

$X+Y+Z=\frac{1}{8}$
$Z=\frac{1}{8}-X-Y$
$=\frac{1}{8}-\frac{1}{24}-\frac{1}{16}$
$=\frac{1}{48}$
$\therefore Z$ can do the work in 48 days.