Question : A and B together can finish a job in 24 days, while A, B, and C together can finish the same job in 8 days. C alone will finish the job in:
Option 1: 12 days
Option 2: 14 days
Option 3: 16 days
Option 4: 24 days
Correct Answer: 12 days
Solution :
Given:
A and B together can finish a job in 24 days, while A, B and C together can finish the same job in 8 days.
Then in 1 day A and B together can finish $\frac{1}{24}$th part of the job.
Also, A, B, and C together can finish the same job in 8 days.
⇒ In 1 day A, B, and C together can finish $\frac{1}{8}$ part of the job.
Then C alone in 1 day can finish $(\frac{1}{8}-\frac{1}{24}) = (\frac{3-1}{24}) = \frac{2}{24}$th part of the job
$\therefore$ C alone will finish the job in $=\frac{1}{\frac{2}{24}} = \frac{24}{2}=12$ days
Hence, the correct answer is 12 days.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Trending Articles around SSC CGL
