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:
Option 1: $17 \frac{11}{17}$ days
Option 2: $17 \frac{17}{19}$ days
Option 3: $14 \frac{11}{17}$ days
Option 4: $11 \frac{11}{17}$ 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: $14 \frac{11}{17}$ days
Solution : Time taken by A to complete the work = 13 days Part of work done by A alone in a day = $\frac{1}{13}$ Time taken by B to complete the work = 17 days Part of work done by B alone in a day = $\frac{1}{17}$ Work done by A and B in the first 2 days if they work alternatively = $\frac{1}{13}$ + $\frac{1}{17}$ = $\frac{13+17}{13×17}$ = $\frac{30}{221}$ Work done by A and B in 14 days = $\frac{7×30}{221}$ = $\frac{210}{221}$ Remaining work = $1-\frac{210}{221}=\frac{221-210}{221}$ = $\frac{11}{221}$ So, the time taken by A to complete the rest = $\frac{\frac{11}{221}}{\frac{1}{13}}$ = $\frac{11}{17}$ Thus, the total time taken by A and B to complete the work when they work alternatively = $14\frac{11}{17}$ days Hence, the correct answer is $14\frac{11}{17}$ 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 and B can complete a work in 10 and 16 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 : X and Y can complete a work in 9 days and 36 days, respectively. X begins to do the work and they work alternately one at a time for one day each. The whole work will be completed in:
Question : A, B, and C working alone, can complete a job in 16, 24, and 36 days, respectively. In how many days can they complete the job if they work together?
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 : P, Q, and R can complete a piece of work in 10 days, 15 days, and 20 days, respectively. If they work together, in how many days can they finish the same work?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile