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Piper & Cistern Test 2
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Piper & Cistern Test 2
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  • Question 1/10
    1 / -0

    A pipe A can fill a tank in 12 hours. Due to development of a hole in the bottom of the tank 1/3rd of the water filled by the pipe A leaks out, the time when the tank will be full is:

    Solutions

    net efficiency =1-1/3=2/3

    hence time taken=12/(2/3)=18 days

     

  • Question 2/10
    1 / -0

    Three pipes A, B and C can fill a cistern in 6 hours. After working together for 2 hours, C is closed and A and B fill the cistern in 8 hours. Then the time in which the cistern can be filled by pipe C will be :

    Solutions

     

  • Question 3/10
    1 / -0

    Pipe A can fill a cistern in 12 hours but it take 8 hour longer because of a leak in its bottom. How long will the leak take to empty the full cistern.

    Solutions

    Assuming that the capacity of cistern is 60 litres.

    Pipe take 12 hour to fill = 5 litres per hour

    With leak cistern take 20 hours to be filled = 3 litres per hour

    So, leak is emptying the cistern = 2 litres per hour

    As we have assumed that capacity of cistern is 60 litres so the leak will take 30 hours to empty it.

     

  • Question 4/10
    1 / -0

    If one pipe A can fill a tank in 20 minutes then 5 pipes each of 20% efficiency of A, can fill the tank in:

    Solutions

    A → 20} 20 → 1 per min.

    1 pipe with 20% less efficiency will fill 1 × .2 = .2 litr of water in 1min.

    So, 5 pipes will fill the tank in 1min. = .2 × 5 = 1 ltr

    So, the time taken to fill the tank by 5 pipes = 20 ÷ 1 = 20 min.

    Alternate method-

     

  • Question 5/10
    1 / -0

    A pipe P can fill a cistern in 30 hours. Another pipe Q can fill the cistern in 60 hours. If both pipes opened together, then in how many hours the cistern would be filled?

    Solutions

     

  • Question 6/10
    1 / -0

    A water tank is two-fifth full. Pipe A can fill the tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are opened, how long will it take to empty or fill the tank completely ?

    Solutions

     

  • Question 7/10
    1 / -0

    Three taps A, B, C can fill an overhead tank in 4, 6 and 12 hours respectively. How long would the three taps take to fill the tank if all of them are opened together?

    Solutions

     

  • Question 8/10
    1 / -0

    The internal dimension of a Cistern are 120 cm 80 cm, and 50 cm. How many cubes each of edge 7 cm can be placed in the cistern with faces parallel to the sides of the tank. 

    Solutions

     

  • Question 9/10
    1 / -0

    Pipe A can fill a tank in 5 hour, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are opend, then the tank will be filled in :

    Solutions

     

  • Question 10/10
    1 / -0

    Two pipes can fill a cistern in 3 hours and 4 hours respectively and a waste pipe can empty it in 2 hours. If all the three pipes are kept open, then the cistern will be filled in:

    Solutions

     

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