Quantitative Aptitude Ques 1884

Question: 2 men and 3 women can do a piece of work in 10 days, while 3 men and 2 women can do the same work in 8 days. Then, 2 men and 1 woman can do the same work in

Options:

A) $ 12days $

B) $ 12\frac{1}{2}days $

C) $ 13days $

D) $ 13\frac{1}{2},days $

Show Answer

Answer:

Correct Answer: B

Solution:

  • According to the question, Number of days $ (M _1+W _1) $ = Number of days $ (M _2+W _2) $ 10 (2 men + 3 women) = 8 (3 men + 2 women)

$ \Rightarrow $ 20 men + 30 women = 24 men + 16 women

$ \Rightarrow $ 4 men =14 women

$ \Rightarrow $ 2 men = 7 women

$ \therefore $ 2 men + 3 women = 10 women

$ \therefore $ 2 men + 1 woman = 8 women By the formula, $ M _1D _1=M _2D _2 $

$ \Rightarrow $ $ 10\times 10=8\times D _2 $

$ \Rightarrow $ $ D _2=\frac{25}{2}=12\frac{1}{2}days $

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