Question : A, B, and C are Accountants. A alone can file a return in 6 hours and B alone can file the same return in 10 hours. All three together can do it in 3 hours. In what time will C alone file the same return?
Option 1: 15 hours
Option 2: 4 hours
Option 3: 7 hours
Option 4: 8 hours
Correct Answer: 15 hours
Solution :
The rate of A = $\frac{1}{6}$ returns per hour
The rate of B = $\frac{1}{10}$ returns per hour
The rate of A, B, and C together = $\frac{1}{3}$ returns per hour
$\therefore$ The rate of C = $\frac{1}{3} - \frac{1}{6} - \frac{1}{10}=\frac{10-(5+3)}{30}=\frac{2}{30}=\frac{1}{15}$ returns per hour
$\therefore$ The time for C to file the return = $\frac{1}{\text{rate of C}}=\frac{1}{\frac{1}{15}}= 15$ hours
Hence, the correct answer is 15 hours.
Related Questions
Know More about
Staff Selection Commission Multi Tasking ...
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Get Updates Brochure
Your Staff Selection Commission Multi Tasking Staff Exam brochure has been successfully mailed to your registered email id “”.
