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 Pipes and Cistern Questions

Popular Latest Rated Important Formulae

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:

A water tank has two holes. The 1st hole alone makes the tank empty in 3 min and 2nd hole alone makes the tank empty in 5 min. If water leaks out at a constant rate, how long in minutes does it take if both the holes together empty the tank?

A) 7/8 B) 23/8
C) 13/8 D) 15/8
 
Answer & Explanation Answer: D) 15/8

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Filed Under: Pipes and Cistern - Quantitative Aptitude - Arithmetic Ability
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Q:

A sump 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:

 

A) 16hours B) 9hours
C) 10hours D) 15hours
 
Answer & Explanation Answer: D) 15hours

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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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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:

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:

Out of three pipes the first two can fill an empty tank in 9 and 18 hours, respectively while the third can drain the filled tank in 15 hours. If all the three pipes are opened when the tank is empty, after how many hours will the tank be full?

A) 11 B) 12
C) 10 D) 13
 
Answer & Explanation Answer: C) 10

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Filed Under: Pipes and Cistern - Quantitative Aptitude - Arithmetic Ability
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