Question : A can do a piece of work in 10 days, B can do it in 12 days and C can do it in 15 days. In how many days will A, B, and C finish it, working all together?
Option 1: $6$ days
Option 2: $5\frac{1}{4}$ days
Option 3: $4\frac{4}{11}$ days
Option 4: $4$ 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: $4$ days
Solution : Given: A can do a piece of work in 10 days, B can do it in 12 days and C can do it in 15 days. A can do a piece of work in 10 days, B can do it in 12 days and C can do it in 15 days. So, A in 1 day can do $\frac{1}{10}$ part of the work. B in 1 day can do $\frac{1}{12}$ part of the work. and C in 1 day can do $\frac{1}{15}$ part of the work. Now A, B, and C together in 1 day can do ($\frac{1}{10}$ + $\frac{1}{12}$ + $\frac{1}{15}$) part of the work = ($\frac{6+5+4}{60}$) = $\frac{15}{60}$ part of the work Therefore, they together will finish the work in (1 ÷ $\frac{15}{60}$) = $\frac{60}{15}$ = 4 days Hence, the correct answer is $4$ days.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : A can do a piece of work in 6 days, working 8 hours a day, while B can do the same work in 4 days, working 10 hours a day. If the work has to be completed in 5 days, how many hours do they need to work together in a day?
Question : A and B can finish a work in 10 days, B and C can finish it in 12 days and C and A can finish in 6 days. In how many days A alone can finish the work?
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?
Question : A can do a piece of work in 20 days and B in 15 days. With the help of C, they finish the work in 5 days. C can alone do the work in:
Question : A, B, and C can do a job in 6 days, 12 days and 15 days respectively. After $\frac{1}{8}$th of the work is completed, C leaves the job. The rest of the work is done by A and B together. The time taken to finish the work is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile