Question : A can complete a task in 25 days while B can complete the same task in 30 days. They work on alternate days, starting with A. Both A and B follow this pattern for 5 days and then, A leaves. In how many days will B finish the remaining work?
Option 1: $24 \frac{2}{5}$
Option 2: $5 \frac{2}{5}$
Option 3: $5 \frac{3}{5}$
Option 4: $24 \frac{3}{5}$
New: SSC CGL 2025 Tier-1 Result
Latest: SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: $24 \frac{2}{5}$
Solution : A can complete the task in 25 days. Work done by A in one day = $\frac{1}{25}$ B can complete the task in 30 days. Work done by B in one day = $\frac{1}{30}$ They work on alternate days for 5 days. In 5 days, A worked for 3 days and B worked for 2 days. Work done in 5 days = $\frac{3}{25} + \frac{2}{30} = \frac{28}{150}$ After 5 days, A leaves, and B continues. The remaining work = $ 1 - \frac{28}{150} = \frac{122}{150}$ If B can do $\frac{1}{30}$ work in one day, the number of days B needs to complete the work = $\frac{\frac{122}{150}}{\frac{1}{30}} =24\frac{2}{5}$ days Hence, the correct answer is $24 \frac{2}{5}$.
Candidates can download this ebook to know all about SSC CGL.
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Question : Rekha alone can complete a task in 16 days and Bina alone can complete the same task in 12 days. Starting with Rekha, they work on alternate days. The task will be completed in:
Option 1: $12 \frac{3}{4}\ \text{days}$
Option 2: $12\ \text{days}$
Option 3: $13\ \text{days}$
Option 4: $13 \frac{3}{4}\ \text{days}$
Question : 30 men can complete a work in 12 days. After 6 days, 24 more men joined them. How many days will it now take to complete the remaining work?
Option 1: $3\frac{1}{3}$ days
Option 2: $3\frac{2}{3}$ days
Option 3: $3\frac{1}{2}$ days
Option 4: $2\frac{1}{3}$ days
Question : Amar can complete a work in 15 days and Prem in 12 days. Starting with Amar, they work on alternate days. In how many days will the work be completed?
Option 1: $13\frac{2}{5}$
Option 2: $12\frac{1}{6}$
Option 3: $13\frac{1}{2}$
Option 4: $13$
Question : Raju, Sunil and Vishal can separately finish a work in 20, 30 and 40 days, respectively. In how many days Raju can finish the work, if he is assisted by Sunil and Vishal on alternate days, starting with Sunil?
Option 1: $12 \frac{3}{5}$
Option 2: $12 \frac{1}{20}$
Option 3: $11 \frac{1}{20}$
Option 4: $11 \frac{3}{5}$
Question : Virat can complete a task in 30 days and Daniel is 60% more efficient than Virat in completing the same task. Find the time total taken by Daniel to complete the task.
Option 1: $16 \frac{3}{5}$ days
Option 2: $18 \frac{3}{4}$ days
Option 3: $19 \frac{5}{3}$ days
Option 4: $17 \frac{5}{3}$ days
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile