Question : P alone can complete a work in 15 days and Q alone can complete the same work in 12 days. They start the work together but after 3 days P leaves the work. How much time will Q take to finish the remaining work?
Option 1: 7.2 days
Option 2: 7.8 days
Option 3: 8.5 days
Option 4: 6.6 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: 6.6 days
Solution : P alone can complete a work in 15 days. ⇒ P's 1 day's work = $\frac{1}{15}$ Q alone can complete the same work in 12 days. ⇒ Q's 1 day's work = $\frac{1}{12}$ So, (P + Q)'s 1 day's work = $\frac{1}{15}+\frac{1}{12}=\frac{3}{20}$ ⇒ (P + Q)'s 3 days work = $\frac{3}{20}×3=\frac{9}{20}$ Remaining work $=1-\frac{9}{20}=\frac{11}{20}$ So, Q's will complete the remaining work in $\frac{\frac{11}{20}}{\frac{1}{12}}=\frac{33}{5}=6.6$ days Hence, the correct answer is 6.6 days.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : A, B, and C together can complete a work in 5 days. A and B together can complete the same work in 6 days. C alone can finish the same work in how many days?
Option 1: 60 days
Option 2: 30 days
Option 3: 15 days
Option 4: 20 days
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?
Option 1: 12 days
Option 2: 10 days
Option 3: 14 days
Option 4: 16 days
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 3: 80 days
Option 4: 40 days
Question : Pia and Ria can complete a project together in 26 days. Pia alone can complete the project in 78 days. They start working together but Pia leaves after 12 days. In how many days can Ria complete the remaining work of the project?
Option 1: 21 days
Option 2: 24 days
Option 3: 25 days
Option 4: 13 days
Question : P is thrice as good as a workman as Q and therefore can finish a work in 40 days less than Q. In how many days can they together complete the same work?
Option 1: 20 days
Option 2: 15 days
Option 3: 22.5 days
Option 4: 18 days
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile