Question

P can paint a wall in 32 days and Q can do the same job in 24 days. With the help of R, they did the same job in 8 days only. Then, R alone can do the job in:

• A. days
• B. days
• C. days
• D. days

Answer 1

The correct option is C

days

(P+Q+R)’s 1 day’s work =$\frac{1}{8}$

P’s 1 day’s work =$\frac{1}{32}$

Q’s 1 day’s work =$\frac{1}{24}$

R’s 1 day’s work = $(\frac{1}{8}-\frac{1}{32}+\frac{1}{24})=\frac{5}{96}$

So, R alone can do the work in $\frac{96}{5}$ days.