Quiz Discussion

A swimming pool is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the pool in the same time during which the pool is filled by the third pipe alone. The second pipe fills the pool 5 hours faster than the first pipe and 4 hours slower than the third pipe. The time required by the first pipe is?

• 1] 6 hours
• 2] 10 hours
• 3] 15 hours
• 4] 30 hours

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

Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?

• 1]

  5/11

• 2]

  6/11

• 3]

  7/11

• 4]

  8/11

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

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

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

A pipe can fill a tank in 3 hours. There are two outlet pipes from the tank which can empty it in 7 and 10 hours respectively. If all the three pipes are opened simultaneously, then the tank will be filled in -

• 1] 8 hours
• 2] 9 hours
• 3] 10 hours
• 4] 11 hours

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

A tank is 7 metre long and 4 meter wide wide. At what speed should water run through a pipe 5 cm broad and 4 cm deep so that in 6 hours and 18 minutes water level in the tank rises by 4.5 meter?

• 1] 10 km/hours
• 2] 12 km/hours
• 3] 8 km/hours
• 4] None of these