X, Y and Z together can complete a work in 6 days. X as well as Y alone can do the same work in 16 days. In how many days can Z alone complete the same work?
Answer & explanation
Correct answer: option 3
X as well as Y alone can do a work in 16 days.
X one day work = 1/16
Y one day work = 1/16
X, Y, Z can do it together in 6 days
Assume Z takes "z" days to complete the work alone.
Z one day work = 1/z
One day work of X, Y and Z working together = 1/6
⇒1/16 + 1/16 + 1/z = 1/6
1/z = 1/6 - 2/16 = (4-3 )/24
z = 24
The correct answer is Option (3) → 24