Quantitative Aptitude Ques 1610

Question: 15 men can finish a work in 20 days, however it takes 24 women to finish it is 20 days. If 10 men and 8 women undertake to complete the work, then they will take

Options:

A) 15 days

B) 30 days

C) 10 days

D) 20 days

Show Answer

Answer:

Correct Answer: D

Solution:

  • [d] $ \text{15 men}\times 20=\text{24 women }~\times 20 $
    $ \Rightarrow $ 15 men = 24 women
    $ \Rightarrow $ 5 men = 8 women Now, (10 men + 8 women) $ \times $ D = 24 women $ \times $ 20
    $ \Rightarrow $ (16 women + 8 women) $ \times $ D = 24 women $ \times $ 20
    $ \Rightarrow $ 24 women $ \times $ D = 24 women $ \times $ 20
    $ \therefore $ D = 20 days
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