a) $${\text{9 days}}$$
b) $${\text{8}}\frac{1}{8}{\text{ days}}$$
c) $${\text{9}}\frac{3}{5}{\text{ days}}$$
d) $${\text{7}}\frac{1}{3}{\text{ days}}$$
Answer: c
Explanation: x does $$\frac{1}{4}$$ work in 6 days.
x does complete work in 6 × 4 = 24 days
y does complete the $$\frac{3}{4}$$ work in 12 days.
y does complete work in 12 × $$\frac{4}{3}$$ = 16 days
x and y together can complete a work in
$$\eqalign{
& = \frac{{16 \times 24}}{{16 + 24}} \cr
& = \frac{{48}}{5} \cr
& = 9\frac{3}{5}\,{\text{days}} \cr} $$
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