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Home Aptitude Pipes and Cistern Comments

  • Question
  • Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank ?


  • Options
  • A. 15 min 20 sec.
  • B. 16 min 40 sec.
  • C. 13 min 10 sec.
  • D. 14 min 40 sec.

  • Correct Answer
  • 14 min 40 sec. 

    Explanation

    Part filled in 4 minutes = 4(1/15 + 1/20) = 7/15

     

    Remaining part = 1 - 7/15 = 8/15

     

    Part filled by B in 1 minute = 1/20

     

    1/20 : 8/15 :: 1 : k

     

    k = (8/15 )x 1 x 20 = 10( 2/3) min = 10 min 40 sec.

     

    The tank will be full in (4 min. + 10 min. 40 sec) = 14 min 40 sec.

  • Tags: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk

    Pipes and Cistern problems


    Search Results


    • 1. A water tank has holes. The 1st hole alone empties the tank in 9 min and 2nd hole alone empties the tank in 6 min. If water leaks out at a constant rate, how many min does it take if both the holes together empty the tank?

    • Options
    • A. 3 3/5
    • B. 3/5
    • C. 3 1/5
    • D. 3 2/5
    • Discuss
    • 2. A Tank is normally filled in 9 hours but takes four hours longer to fill because of a leak in its bottom. If the tank is full, the leak will empty it in ?

    • Options
    • A. 32.5 hrs
    • B. 29.25 hrs
    • C. 30.30 hrs
    • D. 31 hrs
    • Discuss
    • 3. Pipe K fills a tank in 30 minutes. Pipe L can fill the same tank 5 times as fast as pipe K. If both the pipes were kept open when the tank is empty, how much time will it take for the tank to overflow ?

    • Options
    • A. 3 minutes
    • B. 2 minutes
    • C. 4 minutes
    • D. 5 minutes
    • Discuss
    • 4. Two filling taps P and Q together can fill a tank with rate of 40 lit/min and 60 lit/min respectively in 8 min. If a waste tap can empty the filled tank in 32 min, then what is the rate of waste tap ?

    • Options
    • A. 34 lit/min
    • B. 25 lit/min
    • C. 22 lit/min
    • D. 18 lit/min
    • Discuss
    • 5. A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold ?

    • Options
    • A. 360 lit
    • B. 480 lit
    • C. 320 lit
    • D. 420 lit
    • Discuss
    • 6. Two pipes A and B can separately fill a cistern in 60 min and 75 min respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 50 min. In how much time, the third pipe alone can empty the cistern ?

    • Options
    • A. 85 min
    • B. 95 min
    • C. 105 min
    • D. 100 min
    • Discuss
    • 7. In what time would a cistern be filled by three pipes which diameters are 2 cm, 3 cm and 4 cm running together, when the largest alone can fill it is 58 minutes? The amount of water flowing in each pipe is proportional to the square of its diameter.

    • Options
    • A. 26 min
    • B. 32 min
    • C. 36 min
    • D. 42 min
    • Discuss
    • 8. One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill tank in 36 min, then the slower pipe alone will be able to fill the tank in ?

    • Options
    • A. 85 min
    • B. 92 min
    • C. 187 min
    • D. 144 min
    • Discuss
    • 9. 3 pipes when opened for 3 hours can fill 3 buckets. How many buckets can 2 pipes open for 2 hours approximately fill?

    • Options
    • A. 2/3 buckets
    • B. 2 buckets
    • C. 1 bucket
    • D. 4/3 bucket
    • Discuss
    • 10. A water tank is filled in 5 hours by three pipes X, Y and Z the pipe Z is thrice as fast as Y and Y is twice as fast as X. How much time will pipe X alone take to fill the water tank?

    • Options
    • A. 60 hrs
    • B. 45 hrs
    • C. 40 hrs
    • D. 35 hrs
    • Discuss


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