Question : Rimmi and Simmi can together finish a work in 40 days. They worked together for 30 days and then Simmi left. After another 30 days, Rimmi finished the remaining work alone. In how many days Rimmi alone can finish the work?
Option 1: 120 days
Option 2: 30 days
Option 3: 80 days
Option 4: 40 days
New: SSC MTS Tier 1 Answer key 2024 out
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 120 days
Solution : Time taken by Rimmi and Simmi can together finish a work = 40 days 1 day's work of them = $\frac{1}{40}$ They work together for 30 days. So, work done by them in 30 days = $\frac{1}{40}×30=\frac{3}{4}$ $\therefore$ Remaining work = $1-\frac{1}{30}=\frac{1}{4}$ Time taken by Rimmi to finish the remaining work = 30 days $\therefore$ Time taken by Rimmi to finish the whole work = $\frac{30}{\frac{1}{4}}=30×4= 120$ days Hence, the correct answer is 120 days.
Answer Key | Cutoff | Selection Process | Preparation Tips | Eligibility | Application | Exam Pattern
Question : A alone can do a piece of work in 30 days. He worked at it for 5 days and then B alone finished the remaining work in 10 days. In how many days B alone can finish the entire work?
Question : Kapila is thrice as efficient as Vipul and together they can finish a piece of work in 30 days. In how many days Vipul alone can finish the work?
Question : A alone can do a work in 16 days and B alone can do the same work in 12 days. If they worked together on it for 4 days and A left. How long did B take to finish the remaining work?
Question : X and Y together can do a piece of work in 30 days. Z alone can do it in 60 days. If they worked together, then in how many days they can finish the work?
Question : X alone can finish a work in 18 days, and Y alone can finish the same work in 9 days. If X, Y, and Z together can finish the same work in 4 days, then in how many days Z alone can finish the work?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile