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Pipes Cisterns Sample Question - CAT 2012 Prep

The question for the day is from the topic Pipes and Cisterns. The problems from the topic Pipes and Cisterns and Work and Time are very similar in nature. So, if you understand the nature of one of these types, you will be able to attempt the other quite comfortably.

Question 6

Pipe A can fill a tank in 'a' hours. On account of a leak at the bottom of the tank it takes thrice as long to fill the tank. How long will the leak at the bottom of the tank take to empty a full tank, when pipe A is kept closed?

1. (3/2)a hours
2. (2/3)a hours
3. (4/3)a hours
4. (3/4)a hours
5. (5/3) a hours
   
   

Correct Choice - (1). Correct Answer is (3/2)a hours

Explanatory Answer

Pipe A fills the tank in 'a' hours.

Therefore, of the tank gets filled in an hour.

On account of the leak it takes 3a hours to fill the tank.

Therefore, of the tank gets filled in an hour.

Let the leak at the bottom of the tank take 'x' hours to empty the tank.

Hence, of the tank gets emptied every hour.



Hence, x =

CAT Practice Questions and Answers : Listed Topicwise

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Geometry		Mensuration		Trigonometry		Coordinate Geometry
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Speed Time Distance		Pipes Cisterns		Linear Quadratic		Races
Progressions, AP & GP		New Topic		New Topic		New Topic