Quantitative Aptitude · Bank exam practice
Time & Work, Pipes questions for bank exams
Time and work and pipes and cisterns questions ask how long people or pipes take together, alone or with leaks. Plutomonk has 1,040 Time & Work, Pipes questions in Prelims and Mains sets of 10, each with a worked solution. They are useful for IBPS PO, SBI PO, IBPS Clerk, SBI Clerk, IBPS RRB and RBI Assistant.
Use the LCM method. Take total work as the LCM of the days, find each person’s work per day, then add.
Time & Work, Pipes sample questions with answers
These are from the first Prelims and Mains sets. Try each question before you open the solution.
Q1. A can finish a work in 36 days and B in 45 days. In how many days can they finish it together?
- 21 days
- 22.5 days
- 9 days
- 40.5 days
- 20 days
Show answer and solution
Answer: E. 20 days
Together = 36 × 45/(36 + 45) = 20 days.
Q2. A can finish a work in 40 days and B in 30 days. In how many days can they finish it together?
- 18.14 days
- 10 days
- 19.64 days
- 17.14 days
- 16.14 days
Show answer and solution
Answer: D. 17.14 days
Together = 40 × 30/(40 + 30) = 17.14 days.
Q3. A can finish a work in 18 days and B in 45 days. In how many days can they finish it together?
- 12.86 days
- 27 days
- 11.86 days
- 15.36 days
- 31.5 days
Show answer and solution
Answer: A. 12.86 days
Together = 18 × 45/(18 + 45) = 12.86 days.
Q4. A can finish a work in 6 days and B in 36 days. In how many days can they finish it together?
- 4.14 days
- 21 days
- 7.64 days
- 30 days
- 5.14 days
Show answer and solution
Answer: E. 5.14 days
Together = 6 × 36/(6 + 36) = 5.14 days.
Q5. A can finish a work in 36 days and B in 60 days. In how many days can they finish it together?
- 23.5 days
- 24 days
- 21.5 days
- 25 days
- 22.5 days
Show answer and solution
Answer: E. 22.5 days
Together = 36 × 60/(36 + 60) = 22.5 days.
Q6. A can finish a work in 40 days and B in 6 days. In how many days can they finish it together?
- 4.22 days
- 7.72 days
- 6.22 days
- 23 days
- 5.22 days
Show answer and solution
Answer: E. 5.22 days
Together = 40 × 6/(40 + 6) = 5.22 days.
Q7. A can finish a work in 12 days and B in 60 days. In how many days can they finish it together?
- 10 days
- 12.5 days
- 48 days
- 9 days
- 11 days
Show answer and solution
Answer: A. 10 days
Together = 12 × 60/(12 + 60) = 10 days.
Q8. A can finish a work in 40 days and B in 45 days. In how many days can they finish it together?
- 20.18 days
- 23.68 days
- 22.18 days
- 21.18 days
- 5 days
Show answer and solution
Answer: D. 21.18 days
Together = 40 × 45/(40 + 45) = 21.18 days.
Q9. Pipes A and B can fill a tank in 30 and 40 hours. Pipe C can empty it in 30 hours. If all three are opened together, how long will it take to fill the tank?
- 40 hours
- 60 hours
- 30 hours
- 17.14 hours
- 42 hours
Show answer and solution
Answer: A. 40 hours
Net per hour = 1/30 + 1/40 − 1/30 = 1/40. Time = 40 hours.
Q10. Pipes A and B can fill a tank in 20 and 60 hours. Pipe C can empty it in 60 hours. If all three are opened together, how long will it take to fill the tank?
- 22 hours
- 20 hours
- 15 hours
- 30 hours
- 60 hours
Show answer and solution
Answer: B. 20 hours
Net per hour = 1/20 + 1/60 − 1/60 = 1/20. Time = 20 hours.
Q11. A and B can do a work in 24 and 12 days respectively. They work together for 3 days, then A leaves. In how many more days will B finish the work?
- 9.5 days
- 15 days
- 7.5 days
- 6.5 days
- 9 days
Show answer and solution
Answer: C. 7.5 days
Work done in 3 days = 3(1/24 + 1/12). Remaining 62.5% done by B in 7.5 days.
Q12. 18 men working 6 hours a day can finish a job in 14 days. In how many days can 14 men working 6 hours a day finish it?
- 20 days
- 17 days
- 23 days
- 18 days
- 36 days
Show answer and solution
Answer: D. 18 days
M1·D1·H1 = M2·D2·H2 ⇒ D2 = 18 × 14 × 6/(14 × 6) = 18.
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