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 2024 Application Form OUT; Direct Link
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 A 1 to do the work = 12 hours ⇒ 1 day's work of A 1 = $\frac{1}{12}$ Time taken by A 2 to do the work = 24 hours ⇒ 1 day's work of A 2 = $\frac{1}{24}$ Time taken by A 3 to do the work = 16 hours ⇒ 1 day's work of A 3 = $\frac{1}{16}$ If A 1 , A 2 , and A 3 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 A 1 , A 2 , and A 3 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?
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?
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?
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
Question : Working 6 hours a day, Raman can complete a piece of work in 24 days. How many hours a day should he work to finish the work in 18 days?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile