a) 10
b) 12
c) 14
d) 16
Answer: c
Explanation:
Part filled in 2 hours = $$\frac{2}{6}$$ = $$\frac{1}{3}$$
Remaining part = $$ {1 – \frac{1}{3}} $$ = $$\frac{2}{3}$$
(A + B)’s 7 hour’s work = $$\frac{2}{3}$$
(A + B)’s 1 hour’s work = $$\frac{2}{{21}}$$
C’s 1 hour’s work = {(A + B + C)’s 1 hour’s work} – {(A + B’s 1 hour’s work}
$$\eqalign{
& = {\frac{1}{6} – \frac{2}{{21}}} \cr
& = \frac{1}{{14}} \cr} $$
C alone can fill the tank in 14 hours
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