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  • Question
  • 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

  • Correct Answer
  • 480 lit 

    Explanation

    1/k - 1/20 = -1/24

    k = 120

    120 x 4 = 480

    Therefore, the capacity of the cistern is 480 liters.

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

    Pipes and Cistern problems


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    • 1. Three taps I, J and K can fill a tank in 20,30and 40 minutes respectively. All the taps are opened simultaneously and after 5 minutes tap A was closed and then after 6 minutes tab B was closed .At the moment a leak developed which can empty the full tank in 70 minutes. What is the total time taken for the completely full ?

    • Options
    • A. 24.315 minutes
    • B. 26.166 minutes
    • C. 22.154 minutes
    • D. 24 minutes
    • Discuss
    • 2. A water tank in a village is normally filled in 8 hours but takes 2 hours longer to fill because of a leak in its bottom. If the tank is full, in how many hrs will the leak empty it ?

    • Options
    • A. 34 hrs
    • B. 36 hrs
    • C. 38 hrs
    • D. 40 hrs
    • Discuss
    • 3. One fill pipe A is 3 times faster than second fill pipe B and takes 32 minutes less than the fill pipe B. When will the cistern be full if both pipes are opened together?

    • Options
    • A. 6 min
    • B. 8 min
    • C. 12 min
    • D. 10 min
    • Discuss
    • 4. A tap can fill a tank in 6 hours. After half the tank is filled three more similar taps are opened. What is the total time taken to fill the tank completely ?

    • Options
    • A. 4 hrs 15 min
    • B. 3 hrs 24 min
    • C. 4 hrs 51 min
    • D. 3 hrs 45 min
    • Discuss
    • 5. The ratio of efficiencies of two filling pipes is 4 : 5. There is a third emptying pipe which efficiency is two third of the average efficiency of first two filling pipes can empty a filled tank in 36 minutes. In how much time both the filling pipes can fill the tank when it is empty?

    • Options
    • A. 16 min
    • B. 12 min
    • C. 14 min
    • D. 20 min
    • Discuss
    • 6. 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
    • 7. 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
    • 8. 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
    • 9. 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
    • 10. 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.
    • Discuss


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