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
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
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 ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
