SATHEE: Quantitative Aptitude Ques 674

Quantitative Aptitude Ques 674

Question: A and B alone can complete a work in 9 and 18 days, respectively. They worked together, however 3 days before the completion of the work A left. In how many days was the work completed?

Options:

A) 13

B) 8

C) 6

D) 5

Show Answer

Answer:

Correct Answer: B

Solution:

Let the work is completed by A and B together in x days.

$ \therefore $ $ \frac{x-3}{9}+\frac{x}{18}=1 $
$ \Rightarrow $ $ \frac{2x-6+x}{18}=1 $

$ \Rightarrow $ $ 3x=24 $
$ \Rightarrow $ $ x=8 $ Alternate Method Here, $ x=9, $ $ y=18 $ and $ t=3 $

$ \therefore $ Total number of days taken by A and 8 $ =\frac{y(x+t)}{x+y}=\frac{18(9+3)}{9+18}=\frac{18\times 12}{27}=8days $

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Quantitative Aptitude Ques 674

Question: A and B alone can complete a work in 9 and 18 days, respectively. They worked together, however 3 days before the completion of the work A left. In how many days was the work completed?

Options:

Answer:

Solution:

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