Pipes and Cistern Questions

FACTS  AND  FORMULAE  FOR  PIPES  AND  CISTERN  QUESTIONS

 

 

1. Inlet : A pipe connected with a tank or a cistern or a reservoir, that fills it, is known as an inlet.

 

2. Outlet : A pipe connected with a tank or cistern or reservoir, emptying it, is known as an outlet.

 

(i) If a pipe can fill a tank in x hours, then:

part filled in 1 hour = 1/x

(ii) If a pipe can empty a tank in y hours, then:

part emptied in 1 hour = 1/y

(iii) If a pipe can fill a tank in x hours and another pipe can empty the full tank in y hours (where y > x), then on opening both the pipes, then the net part filled in 1 hour = 1x-1y

(iv) If a pipe can fill a tank in x hours and another pipe can empty the full tank in y hours (where x > y), then on opening both the pipes,  the net part emptied in 1 hour = 1y-1x

Q:

Two pipes X and Y can individually fill a tank in 48 and 72 min respectively. If they are opened simultaneously, how long will it take for the tank to fill? 

 

A) 39.4 min  B) 28.8 min 
C) 24 min  D) 60 min
 
Answer & Explanation Answer: B) 28.8 min 

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Q:

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 three-fifth full, how many hours will be needed to fill the cistern?

A) 36/11 B) 48/11
C) 60/11 D) 24/11
 
Answer & Explanation Answer: D) 24/11

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Q:

Pipes A and B, when working together, can fill an empty tank in 8 hours. If B is stopped after 2 hours, it will take a total of 11 hrs to fill the tank. How long would it take A to fill the empty tank alone?

 

A) 15 hrs B) 12 hrs
C) 13 hrs D) 16 hrs
 
Answer & Explanation Answer: B) 12 hrs

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Q:

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 ?

A) 2 days 1 hour B) 16 days 16 hours
C) 1 day 7 hours D) 15 days 18 hours
 
Answer & Explanation Answer: B) 16 days 16 hours

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Q:

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?

A) 3 hrs 20 min B) 3 hrs 25 min
C) 3 hrs 15 min D) 3 hrs
 
Answer & Explanation Answer: C) 3 hrs 15 min

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Q:

A pipe can fill a sump with water in 2 hours. Because of a leak, it took 2 2/3 hrs to fill the sump. The leak can drain all the water of the sump in

A) 8 hrs B) 15 hrs
C) 6 hrs D) 11 hrs
 
Answer & Explanation Answer: A) 8 hrs

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Q:

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 fillthe cistern completely?

A) 2h 30 min B) 2h
C) 3h D) 2h 40 min
 
Answer & Explanation Answer: A) 2h 30 min

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Q:

A pipe, working at full speed, can fill an empty cistern in 1 hour. However, during the first hour it worked at one-twelfth of its capacity, during the second hour at one-ninth of its capacity, during the third hour at one-sixth of its usual capacity and during the fifth hour it was only one -third as efficient as it was supposed to be. A second pipe also displayed similar performance, but if it worked at full speed would have filled the empty cistern in 2 hours. Together with a drain pipe that drained water out of the tank at a constant rate, the empty cistern could be filled in 5 hours, all the three pipes working concurrently. How many hours will it take the drain pipe to empty the filled cistern if no other pipe was functioning during the time?

 

A) 16 B) 12
C) 10 D) 15
 
Answer & Explanation Answer: B) 12

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