Quantitative Aptitude Ques 970
Question: 10 men or 18 women can do a piece of work in 38 days. In how many days will 6 men and 12 women do it?
Options:
A) 40
B) 30
C) 21
D) 25
Show Answer
Answer:
Correct Answer: A
Solution:
- 18 women = 10 man
$ \therefore $ 1 woman $ =\frac{10}{18} $ man $ =\frac{5}{9} $ man
$ \Rightarrow $ 12 women $ =\frac{5}{9}\times 12 $ man
$ \therefore $ B men and 12 women $ =( 6+\frac{20}{3} ) $ man $ =\frac{38}{3} $ men
Let the number of days be x.
Then, $ \frac{\frac{38}{3}}{10}=\frac{38}{x} $
$ \Rightarrow $ $ x=30 $ days