Three men, four women and six children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?
Three men, four women and six children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ?
A8
B7
C12
DCannot be determined
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Correct answer is: 7
Explanation:
\(\text{2 men = 1 woman}\)
\(\therefore \text{1 man =} \frac{1}{2} \text{ woman}\)
\(\therefore \text{3 man =} \frac{3}{2} \text{ woman}\)
\(\text{Again, 2 children = 1 man}\)
\(= \frac{1}{2} \text{ woman}\)\(\therefore \text{1 child = } \frac{1}{4} \text{ woman}\)
\(\therefore \text{6 children = }\frac{6}{4} = \frac{3}{2} \text{women}\)
Now, three men, four women and six children
\(= \frac{3}{2} + 4 + \frac{3}{2} =\text{ 7 women}\)Hence, 7 women complete the work in 7 days.
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