Bissoy.com
Doctors Medicines MCQs Q&A

Three pipes A, B, C can individually fill a tank in 45 min., 60 min., and 30 min. respectively. If all the three pipes are simultaneously opened in an empty tank, such that pipes A and B are closed after 9 min. and 12 min. respectively, how much time will pipe C take alone to fill the remaining part of the tank?

Three pipes A, B, C can individually fill a tank in 45 min., 60 min., and 30 min. respectively. If all the three pipes are simultaneously opened in an empty tank, such that pipes A and B are closed after 9 min. and 12 min. respectively, how much time will pipe C take alone to fill the remaining part of the tank? Correct Answer 6 min.

Part filled by A in 1 min. = 1/45

Part filled by B in 1 min. = 1/60

Part filled by C in 1 min. = 1/30

Let the tank is filled in total ‘x’ min.

Pipe A is opened for 9 min., hence, part filled by A in 9 min. = 9 × 1/45 = 1/5

Pipe B is opened for 12 min., hence, part filled by B in 12 min. = 12 × 1/60 = 1/5

Pipe C is opened for x min., hence, part filled by C in x min. = x × 1/30 = x/30

Total work done = 1/5 + 1/5 + x/30 = 1

⇒ x/30 = 3/5

⇒ x = 30 × 3/5 = 18 min.

∴ Pipe C was opened alone for 18 – 12 = 6 min.

Related Questions

In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: Pipe A takes thrice the time taken by Pipe B to fill a tank. Together they can fill the tank in 15 hours, tank A and B is opened together for 4 hours and then Pipe A is closed and after 2 more hours Pipe B is closed and an outlet Pipe C is opened which when working alone can empty the tank in 10 hours. Calculate the time taken by C to empty the tank. Quantity B: A pipe A can fill the tank in 10 hours another pipe B can fill the tank in 15 hours and with the help of third pipe C they can fill the tank in 5 hours. Pipe A is opened for 4 hours then it is closed, pipe B is closed 3 hours before filling of tank and tank C is opened the whole time. Calculate the time taken to fill the tank
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: Pipe A takes thrice the time taken by Pipe B to fill a tank. Together they can fill the tank in 15 hours, tank A and B is opened together for 4 hours and then Pipe A is closed and after 2 more hours Pipe B is closed and an outlet Pipe C is opened which when working alone can empty the tank in 10 hours. Calculate the time taken by C to empty the tank. Quantity B: A pipe A can fill the tank in 10 hours another pipe B can fill the tank in 15 hours and with the help of third pipe C they can fill the tank in 5 hours. Pipe A is opened for 4 hours then it is closed, pipe B is closed 3 hours before filling of tank and tank C is opened the whole time. Calculate the time taken to fill the tank.
Given below are three quantities named A, B and C. Based on the given information; you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. The options represent the relations between these three quantities A) > B) < C) = D) ≤ E) ≥ Two pipes P and Q can fill an empty tank in 20 minutes and 30 minutes respectively. Quantity A: If both pipes are opened simultaneously, then after what certain time P should be closed so that further time after which the tank is filled in 15 minutes? Quantity B: If both are opened and P is closed after 8 minutes, how much further time would it take for Q to fill the bucket? Quantity C: Pipe A and B can fill a tank in 15 minutes and 10 minutes respectively. Pipe C can empty the tank in 5 minutes. Pipe A and B are opened simultaneously and after the 4-minute pipe, C is also opened. In what time the tank will be emptied?
Two pipes are connected to tank 1 and one pipe connects tank 1 and tank 2 at the bottom of both tanks. At first pipe A and pipe B will filling tank 1 and then pipe C would be opened to fill tank 2. Capacity of tank 1 is twice capacity of tank 2. Pipe C takes 8 minutes to fill the whole tank 2 wherein discharging capacity of pipe C is 62.5 liters per minute. Ratio of time taken by pipe A and B to fill the tank when operating alone is 4 : 5 then find approximate discharging capacity of pipe A and B in liters/ minute if both the pipes discharge equal amount of water in tank. Time taken by pipe A and B to fill the tank 1 is 20/ 3 minutes
Three pipes x, y and z can fill a tank A can fill it in 4 minutes. Two pipes p and q are connected to tank B. how much time does it take for both tanks to run at the full capacity? Ratio of time taken to fill tank A by P and time taken by x to fill tank A is 2: 1 and ratio of time taken by Q to fill tank B and Z to fill tank A is 5: 3. Pipe P is 20% more efficient then pipe Q. and pipe Y takes 12 minutes to fill the tank. Capacity of tank B is 3/4 times of tank A. Note: Tank B is to be filled only after filling tank A. Valves of pipe p and q are closed once tank B is running at full capacity.
The question below is followed by three statements I, II, and III. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. A water tank is to be filled. Pipe A is opened for 10 minutes and then closed. After that pipe, B is opened and the remaining tank is filled by Pipe B alone. In how much time pipe B filled the remaining tank working alone? I. Pipe A and B together can fill a tank in 12 minutes. II. Pipe B, C, can fill a tank in 10 minutes. The ratio of their efficiency is 1 : 2 III. Pipe D and C can fill a tank in 12 minutes
There are two pipes T and V which can empty the tank and one pipe S can fill the tank. Pipe S can fill the tank in 5 hours. Pipe T can empty half of the tank in 5 hours. Pipe S is opened for 1 hour and 15 min then Pipe T and Pipe V are also opened. Then the (remaining) tank gets filled in 10 hours. In what time pipe V can empty the 1/4th filled tank?
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: There are two inlet pipes A, B and two outlet pipes C, D inlet pipe B takes 7 hours more to fill the tank when compared to A. Two outlet pipes when working together can empty the tank in 3.5 hours and efficiency of both the pipe is same if all of them working together can fill the tank in 2 hours. Calculate the time taken by A to fill the tank. Quantity B: The ratio of efficiencies of two pipes A and B is in the ratio 3 ∶ 2 and that of pipe B and C is 1 ∶ 3. Pipe A and B are inlet pipes, pipe C is outlet pipe working together they can fill the tank in 7.5 hours. Calculate the time taken by A to fill the tank when working alone.
Pipes A & B can together fill a tank in 4 hours, while pipes C & D can individually empty the tank in 10 hours and 12 hours respectively. When the tank was empty, pipes A & B were simultaneously opened. After an hour, pipe C was also opened. After the opening of pipe C, pipe D will be opened after how much time such that the tank is only half filled in 3 hours? 
Three pipes A, B, C are attached to a tank respectively. Pipe A, B are filling pipes that can fill the tank in 45 and 54 minutes while C can empty the tank in 72 Minutes. Pipe A, C are opened for 30 minutes then they are closed, Pipe B and C are opened for 24 minutes then they are closed. After that, all three pipes were opened for the whole time. Find the time taken by all pipes to fill the remaining tank?