Question : A and B together finish a work in 6 days. If A alone can finish the work in 10 days, then in how many days B alone can complete the work?
Option 1: 15 days
Option 2: 10 days
Option 3: 12 days
Option 4: 14 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: 15 days
Solution : Time taken by A alone to do the work = 10 days Part of work done by A in a day = $\frac{1}{10}$ Let $x$ be the time taken by B to do the work. Part of work done by B in a day = $\frac{1}{x}$ Time taken by A and B together to do the work = 6 days Part of work done by A and B in a day = $\frac{1}{6}$ So, $\frac{1}{10}$ + $\frac{1}{x}$ = $\frac{1}{6}$ ⇒ $\frac{1}{x}$ = $\frac{1}{6}$ – $\frac{1}{10}$ = $\frac{10-6}{60}$ = $\frac{1}{15}$ ⇒ $x$ = 15 days Hence, the correct answer is 15 days.
Answer Key | Cutoff | Selection Process | Preparation Tips | Eligibility | Application | Exam Pattern
Question : Kanti and Jiya together can finish a work in 3 days. If Jiya alone can finish the work in 6 days, then in how many days can Kanti alone 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?
Question : A and B together can complete a given work in 10 days. C can complete the same work alone in 15 days. In how many days can they complete the work, if all three work together?
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?
Question : Akbar can complete a piece of work alone in 12 days, while Anthony can complete the same work alone in 20 days. If they work on alternate days with Anthony starting the work, then in how many days can they complete the whole work?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile