Question : A and B can do a piece of work in 5 days and 10 days, respectively. They began the work together but A left after some days and B finished the remaining work in 8 days. After how many days did A leave?
Option 1: $3\frac{1}{8}$
Option 2: $5\frac{1}{8}$
Option 3: $6\frac{1}{8}$
Option 4: $\frac{2}{3}$
Latest: SSC CGL Tier 1 Result 2024 Out | SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL Tier 1 Scorecard 2024 Released | SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: $\frac{2}{3}$
Solution : Time taken by A alone to complete the work = 5 days Work done by A alone in a day = $\frac{1}{5}$ Time taken by B alone to complete the work = 10 days Work done by B alone in a day = $\frac{1}{10}$ Work done by B alone in 8 days = $\frac{8}{10}$ Work done by A and B together $= 1-\frac{8}{10}=\frac{2}{10}=\frac{1}{5}$ So they do $\frac{1}{5}$th part work in $\frac{\frac{1}{5}}{\frac{1}{5}+\frac{1}{10}}=\frac{1}{5}×\frac{10}{3}=\frac{2}{3}$ days Hence, the correct answer is $\frac{2}{3}$.
Candidates can download this ebook to know all about SSC CGL.
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
Question : A and B can do a piece of work in 45 and 40 days, respectively. They began the work together, but A left after some days and B finished the remaining work in 23 days. A left after:
Question : A, B, and C can separately do work in 6, 10, and 15 days respectively. They started to work together but C left after 2 days. In how many days will the remaining work be finished?
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:
Question : A, B, and C can separately complete a work in 12, 15, and 20 days, respectively. They worked together for 4 days. What will be the remaining work?
Question : Pawan can do a piece of work in 32 days. He worked for 8 days and left the work. Thereafter Sandeep finished the remaining work in 27 days. In how many days can Pawan and Sandeep together do the whole work?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile