Question : A and B can do a piece of work in 8 days, B and C can do the same work in 12 days and A, B, and C complete it in 6 days. Find the number of days required to finish the work by A and C is:
Option 1: 16
Option 2: 8
Option 3: 12
Option 4: 24
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: 8
Solution : Let the total work is 1 unit. The efficiency of A and B is $\frac{1}{8}$, the efficiency of B and C is $\frac{1}{12}$ and the efficiency of A, B, and C is $\frac{1}{6}$. Efficiency of A = Efficiency of (A, B, C) – Efficiency of (B, C) $= \frac{1}{6} – \frac{1}{12} = \frac{1}{12}$ Efficiency of C = Efficiency of (A, B, C) – Efficiency of (A, B) $= \frac{1}{6} – \frac{1}{8} = \frac{1}{24}$ Efficiency of (A + C) = Efficiency of A + Efficiency of C $= \frac{1}{12} + \frac{1}{24} = \frac{3}{24} = \frac{1}{8}$ Hence, the number of days required to finish the work by A and C is 8 days. Hence, the correct answer is 8.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : A and B can do a work in 8 days and B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will 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 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:
Question : A and B can do a piece of work in 18 days, B and C in 24 days and A and C in 36 days. Working together, they can do the work in:
Question : A can do as much work in 4 days as B can do in 5 days and B can do as much work in 6 days as C in 7 days. In what time will C complete a piece of work that A can do in a week?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile