12 men can complete a piece of work in 36 days. 18 women can complete the same piece of work in 60 days. 8 men and 20 women work together for 20 days. If only women were to complete the remaining piece of work in 4 days, how many women would be required ?

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BANK PO Exam (Union Bank of India) 2005 click here to view all questions

12 men can complete a piece of work in 36 days. 18 women can complete the same piece of work in 60 days. 8 men and 20 women work together for 20 days. If only women were to complete the remaining piece of work in 4 days, how many women would be required ?

A70

B28

C66

D40

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Answer is : 70 Explanation: 12 men can complete the work in 36 days. 12 × 36 men can complete the work in 1day. Again, 18 women can complete the work in 60 days. 18 × 60 women can complete the work in1 day. 12 × 36 men = 18 × 60 women 2 men = 5 women Now, 8 men + 20 women = (4 × 5 + 20) women = 40 women 18 women complete the work in 60 days. 40 womens’ 20 days’ work $=\frac{40\times20}{18\times60}= \frac{20}{27}$ $\therefore$ Remaining work = $1 - \frac{20}{27}= \frac{7}{27}$ $\therefore 18 \times 60$  women do 1 work in 1 day. $\therefore$ 1 woman does $=\frac{ 1}{80 \times 60}$ Work in 1 day $\therefore$ 1 woman does in 4 days $= \frac{4}{180\times60} = \frac{1}{18\times15}$ work  $\therefore \frac{1}{18 \times 15}$ work is done in 4 days by 1 woman $\therefore \frac{7}{27}$ work is done in 4 days by = $\frac{18\times15\times7}{27}$ = 70 days Akilesh Kharvi ? answered May 27 '2017 at 16:15 All Comments

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