logo

CuriousTab

CuriousTab

Discussion


Home Aptitude Pipes and Cistern Comments

  • Question
  • A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400 m3 . The emptying capacity of the tank is 10 m3 per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?


  • Options
  • A. 50 m^3/min
  • B. 60 m^3/min
  • C. 72 m^3/min
  • D. None of these

  • Correct Answer
  • 50 m^3/min 

    Explanation

    Let the filling capacity of the pump be x m 3 /min. 

    Then, emptying capacity of the pump=(x+10) m 3 /min.  

    so, 2400 x - 2400 x + 10 = 8   ? x 2 + 10 x - 3000 = 0  

     

    ? x - 50 + x + 60 = 0   ? x = 50

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

    Pipes and Cistern problems


    Search Results


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

    • Options
    • A. 6 min.to empty
    • B. 6 min.to fill
    • C. 9 min.to empty
    • D. 9 min.to fill
    • Discuss
    • 2. A and B can fill the tank in 60 min and 90 min. There is a leak at 3/4th of the height. If leak is opened alone, it takes 36 min to empty till 3/4th the height. Find the time taken to fill the tank if all of the taps and the leak are opened simultaneously.

    • Options
    • A. 39
    • B. 27
    • C. 37
    • D. 33
    • Discuss
    • 3. A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in ?

    • Options
    • A. 20 hrs
    • B. 28 hrs
    • C. 36 hrs
    • D. 40 hrs
    • Discuss
    • 4. Three taps A,B and C can fill a tank in 12,15 and 20 hours respectively. If A is open all the time and B ,C are open for one hour each alternatively, the tank will be full in:

    • Options
    • A. 6 hrs
    • B. 20/3 hrs
    • C. 7 hrs
    • D. 15/2 hrs
    • Discuss
    • 5. Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:

    • Options
    • A. 10
    • B. 12
    • C. 14
    • D. 16
    • Discuss
    • 6. Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 3 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill ?

    • Options
    • A. 8.21 min
    • B. 8 min
    • C. 8.57 min
    • D. 8.49 min
    • Discuss
    • 7. Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:

    • Options
    • A. 60 gallons
    • B. 100 gallons
    • C. 120 gallons
    • D. 180 gallons
    • Discuss
    • 8. There is an empty reservoir whose capacity is 30 litres. There is an inlet pipe which fills at 5 L/min and there is an outlet pipe which empties at 4 L/min. Both the pipes function alternately for 1 minute. Assuming that the inlet pipe is the first one to function, how much time will it take for the reservoir to be filled up to its capacity?

    • Options
    • A. 49.5 min
    • B. 50 min
    • C. 51 min
    • D. 52 min
    • Discuss
    • 9. Water flows into a tank which is 200 m long and 150 m wide, through a pipe of cross-section (0.3m x 0.2m) at 20 km/h. In what time will the water level be 12m ?

    • Options
    • A. 200 hrs
    • B. 240 hrs
    • C. 300 hrs
    • D. 270 hrs
    • Discuss
    • 10. 12 buckets of water fill a tank when the capacity of each tank is 13.5 liters. How many buckets will be needed to fill the same tank,if the capacity of each bucket is 9 liters?

    • Options
    • A. 8
    • B. 15
    • C. 16
    • D. 18
    • Discuss


    Comments

    There are no comments.

Enter a new Comment