a) 12
b) 16
c) 24
d) 36
Answer: c
Explanation: (X + Y)’s 1 day’s work
$$\eqalign{
& = \left( {\frac{1}{{16}} + \frac{1}{{16}}} \right) \cr
& = \frac{2}{{16}} \cr
& = \frac{1}{8} \cr} $$
Z’s 1 day’s work =
(X + Y + Z)’s 1 day’s work – (X + Y)’s 1 day’s work
$$\eqalign{
& = \frac{1}{6} – \frac{1}{8} \cr
& = \frac{1}{{24}} \cr} $$
Z alone can finish the work in 24 days.
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