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  • Question
  • 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

  • Correct Answer
  • 3 hrs 45 min 

    Explanation

    Time taken by one tap to fill half of the tank = 3 hrs.

    Part filled by the taps in 1 hour = 4 x 1/6 = 2/3

    Remaining part = 1 - 1/2 = 1/2

    2/3 : 1/2 :: 1 : p

    p = 1/2 x 1 x 3/2 = 3/4 hrs. i.e., 45 min

    So, total time taken = 3 hrs 45 min.

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

    Pipes and Cistern problems


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    • 1. 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
    • 2. Pipe A can fill a tank in 16 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes ?

    • Options
    • A. 21 min
    • B. 24 min
    • C. 20 min
    • D. 22 min
    • Discuss
    • 3. The capacity of a tank is 2400 m3 . A pump can be used both for filling and emptying the tank. The emptying capacity of the pump is 10 m3/minute higher than its filling capacity. And also, the pump needs 8 minutes less to empty the tank than to fill it. Find the filling capacity of the pump.

    • Options
    • A. 46 cub.m/min
    • B. 44 cub.m/min
    • C. 48 cub.m/min
    • D. 50 cub.m/min
    • Discuss
    • 4. Taps X and Y can fill a tank in 30 and 40 minutes respectively.Tap Z can empty the filled tank in 60 minutes.If all the three taps are kept open for one minute each,how much time will the taps take to fill the tank?

    • Options
    • A. 48min
    • B. 72min
    • C. 24min
    • D. None of these
    • Discuss
    • 5. Pipe A is an inlet pipe that can fill an empty cistern in 69 hours. Pipe B can drain the filled cistern in 46hours. When the cistern was filled the two pipes are opened one at a time for an hour each, starting withPipe B. how long will it take for the cistern to be empty?

    • Options
    • A. 11 days 10 hours
    • B. 11 days 7 hours
    • C. 11 days 12 hours
    • D. 1 days 13 hours
    • Discuss
    • 6. 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
    • 7. 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
    • 8. 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
    • 9. 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
    • 10. 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


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