Question : A and B can do a piece of work in 8 days, B and C can do it in 24 days while C and A can do it in $8\frac{4}{7}$ days. In how many days can C do it alone?
Option 1: 60 days
Option 2: 40 days
Option 3: 30 days
Option 4: 10 days
New: SSC MTS 2024 Application Form OUT; Direct Link
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 60 days
Solution : Given: A and B can do a piece of work in 8 days. B and C can do it in 24 days, and A and C can do it in $\frac{60}{7}$ days. (A+B)'s 1 day's work = $\frac{1}{8}$ (B+C)'s 1 day's work = $\frac{1}{24}$ (A+C)'s 1 day's work = $\frac{7}{60}$ Adding the above three equations we get, 2(A+B+C)'s 1 day's work = $\frac{1}{8}+\frac{1}{24}+\frac{7}{60}=\frac{15+5+14}{120} = \frac{34}{120} = \frac{17}{60}$ ⇒ (A+B+C)'s 1 day's work is $\frac{17}{120}$. C's 1 days's work $=\frac{17}{120} - \frac{1}{8} = \frac{17–15}{120} = \frac{2}{120} = \frac{1}{60}$ So, C can alone complete the work in 60 days. Hence, the correct answer is 60 days.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : A piece of work can be completed by P and Q together in 24 days, and the same piece of work can be completed by R alone in 60 days. If P and R together can do the same work in 36 days, then find the time taken by Q to complete this piece of work alone.
Question : A and B together can do a piece of work in 24 days. A alone can do this work in 40 days. In how many days can B alone do this work?
Question : P alone can do a piece of work in 24 days. Q alone can do it in 30 days and R alone can do it in 20 days. In how many days they can complete it together?
Question : Avi alone can do a piece of work in 60 days while Prakash alone can do it in 80 days. In how many days will they finish it together?
Question : A can do a piece of work in 30 days while B can do it in 40 days. How many days can A and B when working together do it?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile