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,