CAT Practice : Pipes cisterns, Work time

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Sum of the rate of flow of individual pipes gives the combined flow rate

Pipe flow rate

    Q.11: Pipe A can fill a tank in 12 hours. When it works along with Pipe B, it can fill the tank in 8 hours. In how many hours can pipe B fill the same tank independently?.
    1. 8 hrs
    2. 12 hrs
    3. 24 hrs
    4. 16 hrs

 

  • Correct Answer
    Choice C. 24 hrs

Detailed Solution

Let the capacity of the tank be C.
Rate of Pipe A =
Rate of Pipe B =
Rate of Pipe A and Pipe B together =



Pipe B independently will take 24 hours to fill the tank.

Correct Answer: 24 hrs



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Mathematicians are creatures of habit. This topic has been called Pipes and Cisterns because someone named it like it long ago. Pipes and Tanks would be much better - at least makes it sound like wartime.