Quantitative Aptitude Ques 889

Question: 8 men can complete a piece of work in 20 days and 8 women can complete the same work in 32 days. In how many days will 5 men and 8 women together complete the work? [CBI (PO) 2010]

Options:

A) 16

B) 12

C) 14

D) 10

E) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

  • 20 day’s work of 8 men = 32 day’s work of 8 women

$ \Rightarrow $ One day’s work of 160 men = 1 day’s work of 256 women

$ \Rightarrow $ 5M = 8W

$ \therefore $ 5M and 8W = 16W

$ \therefore $ $ \frac{8}{16}=\frac{x}{32} $

$ \Rightarrow $ $ x=\frac{8\times 32}{16}=16days $

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