Quiz Discussion

A tank with capacity T liters is empty. If water flows into the tank from pipe X at the rate of x liters per minute and water is pumped out by Y at the rate of y liters per minute and x > y, then how many minutes will the tank be filled?

• 1]

  (x - y) 60 T minutes

• 2]

  (T - x) minutes

• 3]

    minutes

• 4]

   minutes

A vessel has three pipes connected to it , two to supply liquid and one to draw liquid. The first alone can fill the vessel in hours, the second in 3 hours and the third can empty it in hours. If all the pipes are opened simultaneously when the vessel is half full, how soon will it be emptied?

• 1]

  hours

• 2]

   hours

• 3]

  hours

• 4]

  None of these

A water tap fills a tub in 'p' hours and a sink at the bottom empties it in 'q' hours. If p < q and both tap and sink are opened the tank is filled in 'r' hours, then the relation between p, q, r :

• 1]

  1/r = 1/p +1/q

• 2]

  1/r = 1/p -1/q

• 3]

  r = p + q

• 4]

  r = p - q

An outlet pipe can empty a cistern in 3 hours. In what time will empty 2/3 of the cistern?

• 1] 3 hours
• 2] 5 hours
• 3] 2 hours
• 4] 4 hours

A pipe can fill a tank with water in 3 hours. Due to leakage in bottom, it takes hours to fill it. In what time the leak will empty the completely filled tank?

• 1]

  12 hours

• 2]

  21 hours

• 3]

  hours

• 4]

  hours

One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:

• 1] 81 minutes
• 2] 108 minutes
• 3] 144 minutes
• 4] 192 minutes

Two pipes A and B can fill a tank in 20 and 30 hours respectively. Both the pipes are opened to fill the tank but when the tank is one - third full, a leak develops in the tank through which one - third water supplied by both the pipes gose out. The total time taken to fill the tank is?

• 1] 12 hours
• 2] 14 hours
• 3] 16 hours
• 4] 18 hours

Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:

• 1]

  1 13/17 hours

• 2]

  2 8/11 hours

• 3]

  3 9/17 hours

• 4]

  4 1/2 hours

A tank has a leak which would empty the completely filled tank in 10 hours. If the tank is full of water and a tap is opened which admits 4 litres of water per minute in the tank , the leak takes 15 hours to empty the tank. How many litres of water does the tank hold?

• 1] 2400 litters
• 2] 4500 litters
• 3] 1200 litters
• 4] 7200 litters

Having the same capacity 9 taps fill up a water tank in 20 minutes. How many taps of the same capacity are required to fill up the same water tank in 15 minutes ?

• 1] 10 taps
• 2] 12 taps
• 3] 15 taps
• 4] 18 taps