Question : Ram can complete a task in 15 days, Rohan in 25 days, and Rohit in 30 days. Rohan and Rohit worked together for 2 days and then, Rohit was replaced by Ram. In how many days altogether was the work completed?
Option 1: 10 days
Option 2: 8 days
Option 3: 12 days
Option 4: 7 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: 10 days
Solution : Given: Ram can complete a task in 15 days, Rohan in 25 days, and Rohit in 30 days. Work done by Ram in 1 day $= \frac{1}{15}$ Work done by Rohan in 1 day $= \frac{1}{25}$ Work done by Rohit in 1 day $=\frac{1}{30}$ Rohan and Rohit worked together for 2 days. Work done by (Rohan + Rohit) in 1 day $= \frac{1}{25}+\frac{1}{30}=\frac{11}{150}$ Work done by them in 2 days $= 2×\frac{11}{150}=\frac{11}{75}$ Work left = $1-\frac{11}{75}=\frac{64}{75}$ Then, Rohit was replaced by Ram. Work done by (Rohan + Ram) in 1 day $= \frac{1}{25}+\frac{1}{15}=\frac{8}{75}$ So, the remaining work will take $\frac{\frac{64}{75}}{\frac{8}{75}}=8$ days So, the total work will take (8 + 2) = 10 days Hence, the correct answer is 10 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 can complete $\frac{1}{3}$rd of a task in 7 days and B can complete $\frac{2}{7}$th of the same task in 10 days. In how many days can A and B together complete the task?
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 : Ram and Ramesh can do work in 12 days, Ramesh and Somesh in 15 days and Somesh and Ram in 10 days. If Ram, Ramesh, and Somesh work together, in how many days will they complete the work?
Question : 15 men can complete a work in 25 days and 25 women can complete the same work in 40 days. If all the 15 men and 25 women work together, in how many days will the work get completed?
Question : 5 men and 8 women can complete a work in 12 days working together, while 3 men and 7 women together can complete the same work in 15 days. In how many days will 11 women complete the same work?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile