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Piper & Cistern Test 1
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Piper & Cistern Test 1
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  • Question 1/10
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    A water tank has three taps A, B and C. Tap A, when opened,  can fill the water tank alone in 4 hours. Tap B, when opened, can fill the water tank alone in 6 hours and tap C, when opened, can empty the water tank alone in 12 hours. If taps A, B and C are opened simultaneously how long will it take to fill the tank completely?

    Solutions

     

  • Question 2/10
    1 / -0

    A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 litres a minute into the cistern, and it is now emptied in 24 minutes. How many litres does the cistern hold?

    Solutions

     

  • Question 3/10
    1 / -0

    A pipe can  fill a cistern in 20 minutes whereas the cistern when full can be emptied by a leak in 28 minutes. When both are opened, find the time taken to fill the cistern.

    Solutions

     

  • Question 4/10
    1 / -0

    Fill pipe P can fill a cistern in 15 hours but it take 10 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 150 litres.

    Pipe take 15 hour to fill = 10 litres per hour

    With leak cistern take 25 hours to be filled = 6 litres per hour

    So, leak is emptying the cistern = 4 litres per hour

    As we have assumed that capacity of cistern is 150 litres so the leak will take 37.5 hours to empty it.

     

  • Question 5/10
    1 / -0

    Two pipes A and B can fill a tank in 24 min and 32 min respectively. If both the pipes are opened simultaneously after how much time B should be closed so that the tank is full in 18 min ?

    Solutions

     

  • Question 6/10
    1 / -0

    Two pipes A & B working independently can fill a cistern in 12 & 15 hours respectively. Including Pipe C while working together they take 4 hours to fill the complete cistern. In how many hours pipe C can fill the cistern working alone?

    Solutions

     

  • Question 7/10
    1 / -0

    Pipe A can fill a tank completely in 5 hours. However, on account of a leak at the tank, it  takes 3 more hours to fill the tank. How long will the leak take to empty the full tank when pipe A is closed/shut?

    Solutions

     

  • Question 8/10
    1 / -0

    Two pipes A & B can separately fill a tank in 12 hours and 16 hours respectively while a third pipe C can empty it in 48 hours. In what time will the tank be full, if all the pipes are opened together?

    Solutions

     

  • Question 9/10
    1 / -0

    Three pipes A, B & C working independently can fill a cistern in 20, 30 & 60 hours respectively. In how many hours they can fill the cistern working together?

    Solutions

     

  • Question 10/10
    1 / -0

    A pipe can fill a tank in 12 minutes and another pipe is 15 minutes but a third can empty it in 6 minutes. The first two pipes are kept open for 5 minutes in the beginning and then the third pipe is also opened. In what time is the cistern emptied?

    Solutions

     

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