a) 3
b) 5
c) 7
d) Cannot be determined
Answer: c
Explanation:
$$\eqalign{
& 1\,woman’s\,1\,day’s\,work = \frac{1}{{70}} \cr
& {\text{1}}\,{\text{child’s}}\,{\text{1}}\,{\text{day’s}}\,{\text{work}} = \frac{1}{{140}} \cr
& \left( {{\text{5}}\,{\text{women + 10}}\,{\text{children}}} \right){\text{‘s}}\,{\text{day’s}}\,{\text{work}} \cr
& = {\frac{5}{{70}} + \frac{{10}}{{140}}} = {\frac{1}{{14}} + \frac{1}{{14}}} = \frac{1}{7} \cr
& {\text{5}}\,{\text{women}}\,{\text{and}}\,{\text{10}}\,{\text{chidren}}\,{\text{will}}\,{\text{complete}}\,{\text{the}}\,{\text{work}}\,{\text{in}}\,{\text{7}}\,{\text{days}} \cr} $$
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