Question : A1, A2, and A3 alone can complete a piece of work in 12 hours, 24 hours, and 16 hours respectively. Working together, in how much time will they complete the same work?
Option 1: 5 hours 30 minutes
Option 2: 5 hours 20 minutes
Option 3: 4 hours 20 minutes
Option 4: 3 hours 30 minutes
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: 5 hours 20 minutes
Solution : Time taken by A1 to do the work = 12 hours ⇒ 1 day's work of A1 = $\frac{1}{12}$ Time taken by A2 to do the work = 24 hours ⇒ 1 day's work of A2 = $\frac{1}{24}$ Time taken by A3 to do the work = 16 hours ⇒ 1 day's work of A3 = $\frac{1}{16}$ If A1, A2, and A3 work together, work will be done in a day = $\frac{1}{12}$ + $\frac{1}{24}$ + $\frac{1}{16}$ = $\frac{4+2+3}{48}$ = $\frac{9}{48}$ = $\frac{3}{16}$ So, Time taken by A1, A2, and A3 together to do the work = $\frac{16}{3}$ = $5\frac{1}{3}$ hours = 5 hours 20 minutes Hence, the correct answer is 5 hours 20 minutes.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : P, Q, and R alone can complete a piece of work in 30 hours, 10 hours and 15 hours respectively. In how much time will they finish the work if they work together?
Option 1: 5 hours
Option 2: 4 hours
Option 3: 8 hours
Option 4: 10 hours
Question : Suresh alone can do work in 10 days working 1 hour a day. Balu alone can do the same work in 2 days working 5 hours a day. How many hours do they need to work together in a day to complete the same work in 10 days?
Option 1: 1.5 hours
Option 2: 0.5 hours
Option 3: 1 hour
Option 4: 2 hours
Question : A alone can do $\frac{1}{10}$th part of a work in 8 hours. B alone can do $\frac{1}{5}$th part of the same work in 4 hours. If they work together, then how many hours will they take to complete $\frac{9}{16}$th part of the same work?
Option 1: 9 hours
Option 2: 5 hours
Option 4: 4 hours
Question : D1 and D2 can do a piece of work together in 16 days. D2 and D3 can do the same work together in 24 days, while D3 and D1 can do it together in 48 days. In how many days can all 3, working together, do $\frac{5}{6}$ of the work?
Option 1: $\frac{31}{3}$ days
Option 2: $\frac{40}{3}$ days
Option 3: $\frac{35}{3}$ days
Option 4: $\frac{38}{3}$ days
Question : A and B together complete a work in 20 days, B and C together complete the same work in 30 days, and C and A together complete the same work in 24 days. In how many days A, B, and C together can complete the same work?
Option 1: 8 days
Option 2: 16 days
Option 3: 12 days
Option 4: 15 days
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile