Quiz Discussion

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

Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?

• 1] 10 min. 20 sec.
• 2] 11 min. 45 sec.
• 3] 12 min. 30 sec.
• 4] 14 min. 40 sec.

A pipe can fill a tank in x hours and another pipe can empty it in y (y > x) hours. If both pipes are open, in how many hours will the tank is filled?

• 1]

  (x - y) hours

• 2]

  (y - x) hours

• 3]

  hours

• 4]

  hours

Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?

• 1] 1 hour
• 2] 2 hours
• 3] 6 hours
• 4] 8 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

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:

• 1] 10
• 2] 12
• 3] 14
• 4] 16

3/4 part of the tank is full of water. When 30 litres of water is taken out, the tank becomes empty. The capacity of the tank is -

• 1] 36 liters
• 2] 42 liters
• 3] 40 liters
• 4] 38 liters

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

Pipe A can fill the tank in 8 hours and pipe B can fill it in 12 hours. If pipe A is opened at 7:00 AM and pipe B is opened at 9:00 AM, then at what time will the tank be full ?

• 1] 12:00 PM
• 2] 12:30 PM
• 3] 11:48 PM
• 4] 12:36 PM