SATHEE: Quantitative Aptitude Ques 336

Quantitative Aptitude Ques 336

Question: A and B can do a piece of work in 15 days. B and C can do the same work in 10 days and A and C can do the same in 12 days. Time taker by A, B and C together to do the job is

Options:

A) 9 days

B) 8 days

C) 4 days

D) 5 days

Show Answer

Answer:

Correct Answer: B

Solution:

$ (A+B)’s $ one day work $ =\frac{1}{15} $ $ (B+C)’s $ one day work $ =\frac{1}{10} $ $ (A+C)’s $ one day work $ =\frac{1}{12} $

$ \therefore $ $ 2,(A+B+C)=\frac{1}{15}+\frac{1}{10}+\frac{1}{12} $

$ \Rightarrow $ $ 2,(A+B+C)=\frac{4+6+5}{60}=\frac{15}{60} $

$ \Rightarrow $ $ 2,(A+B+C)=\frac{1}{4} $

$ \Rightarrow $ $ A+B+C=\frac{1}{8} $

$ \therefore $ A, B and C together will finish the work in 8 days.

Quantitative Aptitude Ques 335

Quantitative Aptitude Ques 337

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