Pipe and Cistern (SSC) (Part-2)

Total Questions: 19

1. An inlet pipe can fill an empty tank in 120 hours while an outlet pipe drains a completely-filled tank in 54 hours. If 8 inlet pipes and 3 outlet pipes are opened simultaneously, when the tank is empty, then in how many hours will the tank get completely filled ? [SSC CGL 20/07/2023 (1st shift)]

Correct Answer: (d) 90
Solution:

2. An inlet pipe can fill an empty tank in 4½ hours while an outlet pipe drains a completely filled tank in 7⅕ hours. The tank is initially empty, and the two pipes are alternately opened for an hour each, till the tank is completely filled, starting with the inlet pipe. In how many hours will the tank be completely filled? [SSC CGL 21/07/2023 (2nd shift)]

Correct Answer: (c)
Solution:

3. Two taps P and Q can fill a tank alone in 10 hours and 12 hours respectively. If the two taps are opened at 9 a.m., then at what time should the tap P be closed to completely fill the tank at exactly 3 p.m. ? [SSC MTS 16/06/2023 (Morning)]

Correct Answer: (a) 2 p.m
Solution:

4. Two pipes can fill a tank alone in 20 hours and 24 hours respectively and an outlet pipe alone can empty 20 gallons of water per hour. All the three pipes working together can fill the same empty tank in 40 hours. What is the capacity of the tank ? [SSC MTS 16/06/2023 (Afternoon)]

Correct Answer: (b) 300 gallons
Solution:

5. 15 taps can fill a tank in 36 minutes. How many taps will be required to fill the tank in one hour? [SSC CHSL 15/03/2023 (2nd Shift)]

Correct Answer: (b) 9
Solution:


Let the number of taps = 𝓍
15 × 36 = 60 × 𝓍 ⇒ 𝓍 → 9

6. There are two inlets A and B connected to a tank. A and B can fill the tank in 32 h and 28 h, respectively. If both the pipes are opened alternately for 1 h, starting with A, then in how much time (in hours, to nearest integer) will the tank be filled ? [SSC CGL Tier II (03/03/2023)]

Correct Answer: (b) 30
Solution:

7. There are 3 taps A, B, and C in a tank. These can fill the tank in 10 hours, 20 hours and 25 hours, respectively. At first, all three taps are opened simultaneously. After 2 hours, tap C is closed and A and B keep running. After 4 hours from the beginning, tap B is also closed. The remaining tank is filled by tap A alone. Find the percentage of work done by tap A itself. [SSC CGL 05/12/2022 (4th Shift)]

Correct Answer: (d) 72%
Solution:

8. Two pipes X and Y can fill a tank in 12 minutes and 18 minutes, respectively. If both the pipes are opened simultaneously, how long will it take to fill the tank (in mins) ? [Higher Secondary 03/08/2022 (Shift - 4)]

Correct Answer: (d)
Solution:

9. Pipe A can fill an empty cistern in 6 hours and pipe B can fill the same empty cistern in 8 hours. Both the pipes are opened simultaneously but after two hours, pipe A is closed. How many hours will B take to fill the remaining part of the cistern ? [SSC MTS 21/07/2022 (Afternoon)]

Correct Answer: (b)
Solution:

10. A container is normally filled in 5 hours. However, it takes 6 hours when there is a leak at the bottom. If the container is full, at what time would the leak empty it, if no water is allowed into the container during that period? [SSC CHSL 30/05/2022 (Morning)]

Correct Answer: (d) 30 h
Solution: