Examination Questions on Pipes and Cisterns

cistern
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1. Pipe A alone can fill a tank in 8 hours. Pipe B can fill it in 6 hours. If both the pipes are opened and after 2 hours pipe A is closed, then the other pipe will fill the tank in  

  1. 6 hours
  2. 3 1/2 hours
  3. 4 hours
  4. 2 ½ hours

2. A pump takes 8 hours to fill an overhead tank, but due to an open tap in the kitchen, the time taken is 10 hours. In how much time would the kitchen tap empty a full overhead tank?  

  1. 20 hours
  2. 30 hours
  3. 40 hours
  4. 60 hours

3. A leak can empty a full tank in 12 minutes. If the leak is absent, two pipes A and B can fill the tank separately in 15 minutes and 20 minutes respectively. If the leak is active and both the pipes are open then the tank will be filled -  

  1. 30 minutes
  2. 60 minutes
  3. 23 minutes
  4. 35 minutes

4. Pipe A can fill a cistern in 6 hours less than Pipe B. Both the pipes together can fill the cistern in 4 hours. How much time would A take to fill the cistern all by itself?  

  1. 1 hour
  2. 2 hours
  3. 6 hours
  4. 8 hours

5. One tap can fill a drum three times as fast as another tap. Both the taps together can fill the drum in 36 minutes. How much time would the slower tap take to fill the drum?  

  1. 144 minutes
  2. 108 minutes
  3. 124 minutes
  4. 160 minutes

6. A tap supplies 8 litres of water per minute into a cistern. A leak at the bottom of the cistern can empty the cistern in 10 hours. A full tank with the tap open is emptied by the leak in 15 hours. What is the capacity of the tank?  

  1. 15,000 litres
  2. 12,800 litres
  3. 14,400 litres
  4. 13,400 litres

7. There are 2 taps A and B to fill up a water tank. The tank can be filled in 40 minutes if both taps are on. The same tank can be filled in 60 minutes if tap A alone is on. How much time will tap B alone take to fill up the same tank ?  

  1. 64 minutes
  2. 80 minutes
  3. 96 minutes
  4. 120 minutes