SATHEE: Quantitative Aptitude Ques 1672

Quantitative Aptitude Ques 1672

Question: A and B together can do a work in 10 days. B and C together can do the same work in 6 days. A and C together can do the work in 12 days. Then, A, B and C together can do the work in

Options:

A) $ 28days $

B) $ 14days $

C) $ 5\frac{5}{7}days $

D) $ 8\frac{2}{7}days $

Show Answer

Answer:

Correct Answer: C

Solution:

Given, (A + B)’s 1 day’s work $ =\frac{1}{10} $ (i) (B + C)‘s1 day’s works $ =\frac{1}{6} $ … (ii) (C + A)’s 1 day’s work $ =\frac{1}{12} $ (iii) On adding Eqs. (i), (ii) and (iii), we get 2 (A + B + C)’s 1 day’s work $ =\frac{1}{10}+\frac{1}{6}+\frac{1}{12} $ $ =\frac{6+10+5}{60}=\frac{21}{60}=\frac{7}{20} $

$ \Rightarrow $ (A + B + C)’s 1 day’s work $ =\frac{7}{40} $

$ \therefore $ All three together will complete the work in $ =\frac{40}{7}=5\frac{5}{7}days $

Quantitative Aptitude Ques 1671

Quantitative Aptitude Ques 1673

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