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Discussion

If 3 men or 6 women can do a piece of work in 16 days, in how many days can 12 men and 8 women do the same piece of work?

  • A.3 days
  • B.4 days
  • C.5 days
  • D.6 days

Answer: A

From the problem, 3 men = 6 women, so 1 man = 2 women. We need to find the time for 12 men and 8 women. Convert men to women: 12 men = 24 women. Total equivalent women = 24+8=32 women. We know 6 women take 16 days. Using M1D1=M2D2, \(6 \times 16 = 32 \times D2 \Rightarrow 96 = 32 \times D2 \Rightarrow D2 = 3\) days.

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