Question : A can do $\frac{1}{4}$th part of a work in 9 days. B can do $\frac{2}{3}$rd part of the same work in 28 days. Working together, in how many days can A and B complete the whole work?
Option 1: $\frac{262}{11}$ days
Option 2: $\frac{252}{13}$ days
Option 3: $\frac{261}{15}$ days
Option 4: $\frac{198}{17}$ 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: $\frac{252}{13}$ days
Solution : Given: A can do $\frac{1}{4}$ part of a work in 9 days. A does the whole work in $9\times 4=36$ days. So, A's one day's work = $\frac{1}{36}$. B can do $\frac{2}{3}$ part of the same work in 28 days. B does the whole work in $28\times \frac{3}{2}=42$ days. So, B's one day's work = $\frac{1}{42}$. The number of days required by A and B to complete the whole work together = $\frac{1}{\frac{1}{36}+\frac{1}{42}}=\frac{1}{\frac{7+6}{252}}=\frac{252}{13}$ days Hence, the correct answer is $\frac{252}{13}$ days.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
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?
Question : A and B can complete a piece of work in 13 and 17 days respectively. A begins to do the work, and they work alternatively one at a time for one day each. The whole work will be completed in:
Question : A can do $\frac{1}{3}$ of a work in 30 days. B can do $\frac{2}{5}$ of the same work in 24 days. They worked together for 20 days. C completed the remaining work in 8 days. Working together A, B and C will complete the same work in:
Question : A alone can do a work in 14 days. B alone can do the same work in 28 days. C alone can do the same work in 56 days. They started the work together and completed the work such that B was not working in the last 2 days and A did not work in the last 3 days. In how many days
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?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile