Quantitative Aptitude Ques 2469

Question: A can complete a piece of work in 12 days. A and B together can complete the same piece of work in 8 days. In how many days can B alone complete the same piece of work?

Options:

A) 15 days

B) 18 days

C) 24 days

D) 28 days

E) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

  • A’s 1 day’s work $ =\frac{1}{12} $ $ (A+B)’s $ 1 day’s work $ =\frac{1}{8} $

$ \therefore $ B’s 1 day’s work $ =\frac{1}{8}-\frac{1}{12}=\frac{3-2}{24}=\frac{1}{24} $

$ \therefore $ B alone can do the work in 24 days,