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 valves P and B can fill a sump in 37.5 minutes and 45 minutes respectively. Both valves are opened. The sump will be filled in just 30 minutes, if valve B is turned off after

A) 6 min B) 9 min
C) 5 min D) 10 min
 
Answer & Explanation Answer: B) 9 min

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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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2 1376
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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3 1369
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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2 1364
Q:

Working together, pipes A and B can fill an empty tank in 10 hours. They worked together for 4 hours and then B stopped and A continued filling the tank till it was full. It took a total of 13 hours to fill the tank. How long would it take A to fill the empty tank alone?

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

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4 1305
Q:

P, Q and R are channels which discharge solutions A,B and 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.

A) 6/11 B) 5/11
C) 5 D) 6
 
Answer & Explanation Answer: A) 6/11

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Q:

One pipe can fill an empty cistern in 4 hours while another can drain the cistern when full in 10 hours. Both the pipes were turned on when the cistern was half-empty. How long will it take for the cistern to be full?

A) 3 hours 20 minutes B) 6 hours 40 minutes
C) 4 hours 20 minutes D) 5 hours 30 minutes
 
Answer & Explanation Answer: A) 3 hours 20 minutes

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0 1272
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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