Question : Rohit and Mohit can do a piece of work in 4 days, while Ram and Shyam can do the same work in 12 days. In how many days will Rohit, Mohit, Ram, and Shyam do it together?
Option 1: 5 days
Option 2: 3 days
Option 3: 4 days
Option 4: 2 days
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: 3 days
Solution : Given, Time taken by Rohit and Mohit to complete a piece of work = 4 days We know, Efficiency = $\frac{1}{\text{Time taken}}$ ⇒ Efficiency of Rohit and Mohit together = $\frac14$ Also, Ram and Shyam can do the same work in 12 days. ⇒ Efficiency of Ram and Shyam together = $\frac{1}{12}$ ⇒ Efficiency of Rohit, Mohit, Ram, and Shyam together = $\frac{1}{4}+\frac{1}{12}=\frac{4}{12}=\frac13$ $\therefore$ Time taken by Rohit, Mohit, Ram, and Shyam together = 3 days Hence, the correct answer is 3 days.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : S1 and S2 can do a piece of work together in 18 days, S2 and S3 can do the same work together in 27 days, while S3 and S1 can do it together in 54 days. In how many days can all 3,
Question : $P_1$ and $P_2$ can do a piece of work together in 14 days, $P_2$ and $P_3$ can do the same work together in 21 days, while $P_3$ and $P_1$ can do it together in 42 days. How much work can all the 3 together do in 12 days?
Question : P and Q can do a piece of work in 24 days, while R and S can do the same work in 8 days. In how many days P, Q, R, and S do it together?
Question : A, B, and C together can do a piece of work in 6 days. A and B together can do the same work in 12 days. B alone can do the same work in 18 days. In how many days can A and C together do the same work?
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
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile