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. 92/5 days
• B. 94/5 days
• C. 96/5 days
• D. 20 days
• E. None of these

Answer 1

The correct option is C

96/5 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.