Pipe and Cistern (Railway Maths) (Part – II)

Total Questions: 39

31. Two pipes A and B can fill an empty cistern in 18 and 27 hours, respectively. Pipe C can drain the entire cistern in 45 hours when no other pipe is in operation. Initially, when the cistern was empty Pipe A and Pipe C were turned on. After a few hours Pipe A was turned off and Pipe B was turned on instantly. In all, it took 55 hours to fill the cistern. For how many hours was pipe B turned on ? [RRB ALP 17/08/2018 (Morning) ]

Correct Answer: (c) 45
Solution:

32. Two pipes fill a tank when working individually in 25 and 40 hours, respectively while a third pipe can drain the filled tank in 16 hours. If all the three pipes are turned on at the same time when the tank is empty, how long will it take to fill the tank completely? [RRB ALP 17/08/2018 (Afternoon)]

Correct Answer: (c) 16 days 16 hours
Solution:

33. Raghu's tanker can fill a cistern in 4 hours. After half the cistern is filled, three more similar tankers are opened. What is the total time taken to fill the cistern completely? [RRB ALP 20/08/2018 (Afternoon)]

Correct Answer: (b) 2 h 30 min
Solution:

34. P, Q and R are channels which discharge solutions A, B, C respectively in a tank. When the tank is empty and all the three channels are opened, what is the proportion of the solution C in the tank after 3 minutes, if the channels P, Q and R can fill the tank from empty to full in 30 minutes and 20 minutes and 10 minutes respectively when they are opened one at a time. [RRB ALP 21/08/2018 (Morning) ]

Correct Answer: (c) 6/11
Solution:

35. A tank is filled by three tankers with uniform flow. The first two tankers operating simultaneously fill the sump in the same time during which the sump is filled by the third tanker alone. The second tanker fills the sump 5 hours faster than the first tanker and 4 hours slower than the third tanker. The time required by the first tanker is: [RRB ALP 21/08/2018 (Evening)]

Correct Answer: (d) 15 hours
Solution:

36. A pump can fill a tank in 4 hours, but due to a leak, the tank now gets filled in 5 hours. How long will it take the leakage to empty the tank when it is full? [RRB ALP 29/08/2018 (Evening)]

Correct Answer: (a) 20 hours
Solution:

37. Pipe A could fill an empty cistern in 18 hours while Pipe B can drain a filled cistern in 30 hours. When the cistern is empty, Pipe A is turned on for an hour and then turned off. Now Pipe B is allowed to drain out water from the cistern for an hour and then turned off. The pipes were alternately left open for an hour each time till the cistern was full. How much time did it take for the cistern to be full? [RRB ALP 30/08/2018 (Evening) ]

Correct Answer: (d) 86 hours 48 minutes
Solution:

38. Pipe A can fill an empty cistern in 4 hours while along with Pipe B it can fill it up in 3 hours. Only Pipe A is turned on for an hour after which Pipe B is also turned on. How much total time will it take to fill up the cistern? [RRB ALP 31/08/2018 (Afternoon) ]

Correct Answer: (b) 3 hours 15 minutes
Solution:

39. Pipes A, B and C are attached to an empty cistern. While the first two can fill the cistern in 4 and 10 hours, respectively, the third can drain the cistern, when filled, in 6 hours. If all the three pipes are opened simultaneously when the cistern is half-full, how many hours will be needed to fill the cistern ? [RRB ALP 31/08/2018 (Evening) ]

Correct Answer: (b) 30/11
Solution: