Quantitative Aptitude Ques 1423

Question: A and B can complete a piece of work in 8 days, B and C can do it in 12 days, C and A can do it in 8 days. A, B and C together can complete it in

Options:

A) 4 days

B) 5 days

C) 6 days

D) 7 days

Show Answer

Answer:

Correct Answer: C

Solution:

  • Given,(A + B)’s 1 day’s work $ =\frac{1}{8} $ … (i) (B + C)‘s1 day’s work $ =\frac{1}{2} $ … (ii) (C + A)’s 1 day’s work $ =\frac{1}{8} $ … (iii) On adding Eqs. (i), (ii) and (iii), we get 2 (A + B + C)’s 1 day’s work $ =\frac{1}{8}+\frac{1}{12}+\frac{1}{8}=\frac{3+2+3}{24}=\frac{8}{24}=\frac{1}{3} $

$ \therefore $ (A + B + C)’s 1 day’s work $ =\frac{1}{6} $ Hence, the work will be completed in 6 days.

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