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:

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 1527
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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4 1524
Q:

A tap can fill a tank in 50 minutes. If the tank has a leakage which alone is capable of emptying the tank in 2.5 hours, the tank will now be filled in

A) 1 hour B) 1 hour 15 minutes
C) 1 hour 25 minutes D) 1 hour 30 minutes
 
Answer & Explanation Answer: B) 1 hour 15 minutes

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2 1522
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 1479
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 1478
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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3 1464
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 1428
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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0 1399