SATHEE: Quantitative Aptitude Ques 2187

Quantitative Aptitude Ques 2187

Question: 6 women and 6 men together can complete a piece of work in 6 days. In how many days can 15 men alone complete the piece of work, if 9 women alone can complete the work in 10 days?

Options:

A) 6

B) 5

C) 7.2

D) Cannot be determined

E) None of the above

Show Answer

Answer:

Correct Answer: E

Solution:

Let 1 man’s 1 day work be x and 1 woman’s 1 day work be y. Then, according to the question, $ 6x+6y=\frac{1}{6} $ and $ 9y=\frac{1}{10} $ On solving these, we get $ y=\frac{1}{90} $ and

$ \Rightarrow $ $ 6x=\frac{1}{6}-6y=\frac{1}{6}-\frac{6}{90} $ $ =\frac{1}{6}-\frac{1}{15}=\frac{5-2}{30}=\frac{1}{10} $
$ \Rightarrow $ $ x=\frac{1}{60} $

$ \therefore $ 15 men can finish the work in $ \frac{60}{15},=4days $

Quantitative Aptitude Ques 2186

Quantitative Aptitude Ques 2188

Quantitative Aptitude Ques 2187

Question: 6 women and 6 men together can complete a piece of work in 6 days. In how many days can 15 men alone complete the piece of work, if 9 women alone can complete the work in 10 days?

Options:

Answer:

Solution:

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