8 men can complete a piece of work in 4 days. 12 women can complete the same piece of work in 4 days where as 8 children can complete the same piece of work in 8 days. 2 men, 8 children and 3 women work together for 2 days. If only women were to finish the remaining work in 2 days, how many total women would be required ?
8 men can complete a piece of work in 4 days. 12 women can complete the same piece of work in 4 days where as 8 children can complete the same piece of work in 8 days. 2 men, 8 children and 3 women work together for 2 days. If only women were to finish the remaining work in 2 days, how many total women would be required ?
A 12
B18
C24
D20
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Answer is : 12
Explanation:
As per given information,
8 × 4 men = 12 × 4 women
= 8 × 8 children
=> 32 men = 48 women = 64 children
=> 2 men = 3 women = 4 children
2 men + 8 children + 3 women
= (3 + 6 + 3) women =12 women
12 women’s 2 day’s work = \(\frac{1}{2}\)
Remaining work = \(\frac{1}{2}\)
Required number of women = 12
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