Question : A can do a piece of work in 10 days and B can do it in 12 days. They work together for 3 days. Then B leaves and A alone continues. 2 days after that C joins and the work is completed in 2 days more. In how many days can C do it, if he works alone?
Option 1: 30 days
Option 2: 50 days
Option 3: 40 days
Option 4: 60 days
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 40 days
Solution : A does work for 3 + 2 + 2 = 7 days Work done by A = $\frac{7}{10}$ B does work for 3 days. Work done by B = $\frac{3}{12}=\frac{1}{4}$ Total work completed by A and B = $\frac{7}{10} + \frac{1}{4}$ = $ \frac{14}{20} + \frac{5}{20}$ = $ \frac{19}{20}$ So C does the remaining i.e. $1-\frac{19}{20}=\frac{1}{20}$ in 2 days. $\therefore$ C alone will take 40 days to complete the task. Hence, the correct answer is 40 days.
Candidates can download this ebook to know all about SSC CGL.
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
Question : If A and B together can do a piece of work in 20 days, and A alone can do the same work in 30 days, in how many days can B alone complete the same work?
Question : A, B and C can all together do a piece of work in 10 days, in which B takes 3 times as long as A and C together to do the work. In how many days can B alone do the work?
Question : A and B together can do a piece of work in 12 days, while A alone can do the same work in 30 days. B alone can do it in:
Question : A and B together can do a piece of work in 36 days and B and C together can do it in 24 days. A and C together can do it in 18 days. The three working together can finish the work in:
Question : A and B together can do a piece of work in 12 days. A alone can do it in 18 days. In how many days B alone can do the work?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile