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?
Option 1: $16 \frac{16}{17}$ days
Option 2: $16 \frac{13}{17}$ days
Option 3: $16 \frac{15}{17}$ days
Option 4: $16 \frac{14}{17}$ 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: $16 \frac{16}{17}$ days
Solution : Let the total work be represented by $W$. Pawan can complete the work in 32 days, so his daily work rate is $\frac{W}{32}$. Pawan worked for 8 days, so the work done by Pawan in 8 days is $8\times\frac{W}{32}=\frac{W}{4}$. The remaining work to be done is $W-\frac{W}{4} = \frac{3W}{4}$ Now, Sandeep will finish the remaining work in 27 days. Sandeep's daily work rate is $\frac{\frac{3W}{4}}{27}=\frac{3W}{108}=\frac{W}{36}$ Now, let $x$ be the number of days Pawan and Sandeep together can do the whole work. The work done by Pawan in $x$ days is $x\times\frac{W}{32}$ The work done by Sandeep in $x$ days is $x\times\frac{W}{36}$ The sum of their work must equal the total work: ⇒ $\frac{W}{32}x+\frac{W}{36}x=W$ ⇒ $\frac{9W}{288}x + \frac{8W}{288}x = W$ ⇒ $\frac{17W}{288}x = W$ ⇒ $x = \frac{288}{17} = 16\frac{16}{17}$ Hence, the correct answer is $16\frac{16}{17}$ days.
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 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 person can do a piece of work in 18 days. He worked at it for 12 days and B finished the remaining work in 8 days. B alone can do the whole work in:
Question : A can do $\frac{1}{3}$rd of a piece of work in 32 days, B can do $37 \frac{1}{2}$% of the same work in 24 days, while C can do 60% of the same work in 48 days. B and C together started and worked for x days. After x days, B left and A joined C and together, completed the
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?
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:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile