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, when working one at a time can fill a cistern in 2 hrs and 3 hrs, respectively while a third pipe can drain the cistern empty in 6 hrs. All the three pipes were opened together when the cistern was 1/6 full. How long will it take for the cistern to be completely full?

A) 1 hour B) 1 hour 30 min
C) 1 hour 20 min D) 1 hour 15 min
 
Answer & Explanation Answer: D) 1 hour 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:

Two pipes can fill a cistern in 28 and 21 hours respectively and an another pipe can empty 30 gallons of water per hour. All the three pipes working together can fill the empty cistern in 84 hours. What is the capacity (in gallons) of the cistern?

 

A) 350 B) 450
C) 420 D) 480
 
Answer & Explanation Answer: C) 420

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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:

A tap can fill a tank in 20 minutes. If a leakage is capable of emptying the tank in 60 minutes, the tank will be filled in

A) 1 hour B) 45 minutes
C) 30 minutes D) 50 minutes
 
Answer & Explanation Answer: C) 30 minutes

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Q:

A flask has two holes. The 1st hole alone makes the flask empty in 9 minutes and 2nd hole alone makes the flask empty in 16 minutes. If water leaks out at a constant rate, how long in minutes does it take if both the holes together empty the flask?

A) 19/25 B) 41925
C) 52025 D) 51925
 
Answer & Explanation Answer: D) 51925

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Q:

Two pipes P and Q can fill an empty tank in 25 hours and 20 hours respectively. Pipe R alone can empty the completely filled tank in 50 hours. Firstly both the pipes P and Q are opened and after 8 hours pipe R is also opened. What will be the total time (in hours) taken to completely fill the tank?

 

A) 12 B) 10
C) 14 D) 13
 
Answer & Explanation Answer: A) 12

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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 hrs, respectively, the third can drain the cistern, when filled, in 6 hrs. If all the three pipes are opened simultaneously when the cistern is half-full, how many hours will be needed to fill the cistern?

A) 30/11 B) 60/11
C) 120/11 D) 90/11
 
Answer & Explanation Answer: A) 30/11

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