Quantitative Aptitude Ques 2395

Question: A and B can do a work in 12 days. B and C in 15 days. C and A in 20 days. If A, B and C work together, they will complete the work in

Options:

A) 5 days

B) $ 7\frac{5}{6}days $

C) 10 days

D) $ 15\frac{2}{3}days $

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ (A+B) $ can complete the work in 12 days.

$ \therefore $ $ (A+B)’s $ 1 day’s of work $ =\frac{1}{12} $ Similarly, $ (B+C)’s $ 1 day’s of work $ =\frac{1}{15} $ and $ (C+A)’s $ 1 day’s of work $ =\frac{1}{20} $

$ \therefore $ $ 2,(A+B+C)’s $ 1 day’s of work, $ =\frac{1}{12}+\frac{1}{15}+\frac{1}{20}=\frac{5+4+3}{60}=\frac{1}{5} $

$ \therefore $ $ (A+B+C)’s $ can complete the work in 10 days.