4 men and 6 women together can do a work in 8 days
4 men and 6 women together can do a work in 8 days while 3 men and 7 women together can do the same work In 10 days. 10 women together can do this Work in
A24 days
B32 days
C40 days
D36 days
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Correct Answer: C [40 days]
Explanation:
Let m be a man's one day effort and y be a woman's one day effort.
\(\)\(4m+6y=\frac{1}{8} \)
\(3m+7y=\frac{1}{10} \)
\(10y=\frac{1}{??} => ??=\frac{1}{10y} \)
\(12m+18y=\frac{3}{8} \)
\(12m+28y=\frac{4}{10} \)
\(=> 10y = \frac{4}{10}-\frac{3}{8} => 10y = \frac{1}{40} \)
\(\text{Hence ?? = 40 days.}\)
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