Pipes and Cisterns Quiz

A and B are the two pipes that can fill a cistern in 10 and 15 minutes respectively. Initially, both the pipes are opened together but at the end of 3 minutes, tap B is turned off. In how much time will the cistern be filled?

• 3 min

• 5 min

• 8 min

• None of the above

A tank is fitted with three pipes, namely P, Q and R. P and Q can fill a cistern in 15 and 10 minutes respectively whereas R (emptying tap fitted at the bottom of the cistern) can empty it in 12 minutes. If all the three pipes are opened together, in how much time will the cistern be filled?

• 10 mins

• 12 mins

• 15 mins

• 20 mins

Pipe A alone fills the tank in 20 minutes. An outlet pipe B is fitted at the bottom. Because of B, it takes 10 extra minutes to get filled. Find the time in which the leak alone can empty the cistern filled with water.

• 30 minutes

• 60 minutes

• 45 minutes

• 10 minutes

X and Y are the two pipes in which they can fill a tank in 32 and 40 minutes respectively. Both the pipes are opened into the empty cisterns and after some time tap X is closed. Pipe Y alone fills the remaining cistern. If it took 25 minutes to fill the entire tank, for how much time was tap X kept open?

• 12 mins

• 15 mins

• 20 mins

• 30 mins

A tap can fill a tank in 8 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

• 5 hours

• 4 hours

• 7 hours

• 6 hours

Taps A and B can fill a tank in 30 and 40 minutes respectively. Tap C can empty the filled tank in 60 minutes. If all three taps are kept open for one minute each, what will be the time taken by the taps to fill the tank?

• 48 min

• 72 min

• 24 min

• None of the above

Pipe A takes 18 hours to fill the empty tank. One day, it was noticed that 18 hours after the tap was turned on, the tank was not filled due to a leak at the bottom of the tank. The leak was closed and Pipe A took 3 more hours to fill the tank. How much time will the leak take to empty the tank?

• 3 hrs

• 108 hrs

• 24 hrs

• None of the above

Pipes A, B and C can fill a cistern in 11 mins, 20 mins and 55 mins respectively, working alone. How much time will be taken to fill the cistern if A is assisted by B and C on alternate days(i.e., A and B on first day, A and C on second day and so on)?

• 9 mins

• 7 mins

• 4 mins

• 8 mins

Pipe A takes 6 mins to fill a cistern. Pipe B takes thrice the time taken by A to fill the same cistern and Pipe C takes twice the time taken by A to empty the filled cistern. If all the taps are opened altogether, how long will the pipes take to fill the cistern.

• 3.6 min

• 5.4 min

• 7.2 min

• 8.4 min

X can fill (1/3)rd of the tank in 5 mins whereas Y can empty (2/5)th of the tank in 8 mins. If both are opened together, in how many minutes can the remaining portion of the tank be filled, if (1/4)th of the tank is already filled?

• 30 min

• 50 min

• 60 min

• 45 min