16 men can complete a piece of work in 8 days. 20 women take 16 days to complete the same piece of work. 12 men and 10 women work together for 6 days. How many more days would 10 women alone require to complete the remaining piece of work?
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8 days
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9 days
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12 days
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16 days
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None of these
A
Correct answer
Explanation
16 men in 8 days means 1 man does 1/(16×8) = 1/128 work per day. 20 women in 16 days means 1 woman does 1/(20×16) = 1/320 work per day. 12 men + 10 women for 6 days complete: 12/128×6 + 10/320×6 = 9/16 + 3/16 = 12/16 = 3/4 of work. Remaining 1/4 work by 10 women: (1/4)/(10/320) = 8 days.