SATHEE: Quantitative Aptitude Ques 192

Quantitative Aptitude Ques 192

Question: A and B can complete a piece of work in 18 days, B and C in 24 days and A and C in 36 days. In how many days, will all of them together complete the work? [NICL (AO) 2014]

Options:

A) 16

B) 15

C) 12

D) 10

E) 17

Show Answer

Answer:

Correct Answer: A

Solution:

$ (A+B)’s $ one day work $ =\frac{1}{18} $ .(i) $ (B+C)’s $ one day work $ =\frac{1}{24} $ .(ii) and $ (A+C)’s $ one day works $ =\frac{1}{36} $ .(iii) On adding Eqs. (i), (ii) and (iii), we get $ 2,(A+B+C)=\frac{1}{18}+\frac{1}{24}+\frac{1}{36} $ $ =\frac{4+3+2}{72}=\frac{9}{72}=\frac{1}{8} $

$ \Rightarrow $ $ (A+B+C)’s $ one day work $ =\frac{1}{2\times 8}=\frac{1}{16} $ So, A, B and C will together complete the work in 16 days.

Quantitative Aptitude Ques 191

Quantitative Aptitude Ques 193

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