Question : Sanjay and Rohan can complete a work in 8 days and 12 days, respectively. Starting with Sanjay, they work on alternate days. In how many days will the work be completed?
Option 1: $8 \frac{1}{2}$
Option 2: $9 \frac{1}{2}$
Option 3: $9 \frac{2}{3}$
Option 4: $9 \frac{1}{3}$
Correct Answer: $9 \frac{1}{2}$
Solution : Time taken by Sanjay to complete the work = 8 days Part of work done by Sanjay in a day = $\frac{1}{8}$ Time taken by Rohan to complete the work = 12 days Part of work done by Rohan in a day = $\frac{1}{12}$ Part of the work done by Sanjay and Rohan in two days = $\frac{1}{8}+\frac{1}{12}$ = $\frac{3+2}{24}$ = $\frac{5}{24}$ Part of the work done by Sanjay and Rohan in 8 days = $\frac{5×4}{24} = \frac{20}{24}$ Part of the work done by Sanjay in 9th day = $\frac{1}{8} = \frac{3}{24}$ Remaining work = $\frac{24-20-3}{24} = \frac{1}{24}$ Time taken by Rohan to complete the remaining work = $\frac{\frac{1}{24}}{\frac{1}{12}} = \frac{1}{2}$ day Total time taken = $9+\frac{1}{2}= 9\frac{1}{2}$ days Hence, the correct answer is $9\frac{1}{2}$.
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Question : A, B and C can do a piece of work in 11 days, 20 days and 55 days respectively. How soon can the work be done if A works with B on the first day, A works with C on the second day and so on?
Question : A can do $\frac{2}{5}$ of a work in 6 days and B can do $\frac{2}{3}$ of the same work in 12 days. A and B worked together for 6 days. C alone completed the remaining work in 8 days. A and C, working together, will complete the same work in:
Question : A can complete a work in 8 days and B can complete the same work in 11 days. How many days will they take, if both work together?
Question : A can do $\frac{2}{5}$ of a work in 12 days while B can do $66 \frac{2}{3}\%$ of the same work in 16 days. They work together for 10 days. B alone will complete the remaining work in:
Question : A can complete $\frac{2}{3}$ of a work in 4 days and B can complete $\frac{3}{5}$ of the work in 6 days. In how many days can both A and B together complete the work?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile