Bissoy.com
Doctors Medicines MCQs Q&A

There are 2 inlet taps and 2 outlet tap in a tank. Inlet taps X and Y can fill the tank in 20 and 24 hours respectively while the two outlet taps P and Q have equal efficiency. If all the taps are opened together then the tank is filled in 40 hours, then find in how many hours tap P alone will empty the 2/3rd of the tank.

There are 2 inlet taps and 2 outlet tap in a tank. Inlet taps X and Y can fill the tank in 20 and 24 hours respectively while the two outlet taps P and Q have equal efficiency. If all the taps are opened together then the tank is filled in 40 hours, then find in how many hours tap P alone will empty the 2/3rd of the tank. Correct Answer 20 hours

Suppose capacity of the tank = 120 units (LCM of 20 and 24)

⇒ Efficiency of tap X = 120/20 = 6

⇒ Efficiency of tap Y = 120/24 = 5

Suppose the efficiency of tap P and Q = x

Since when all the taps are opened together then the tank is filled in 40 hours

⇒ (6 + 5) × 40 – 40 × 2x = 120

⇒ 80x = 320

⇒ x = 4

⇒ Efficiency of tap P and Q = 4

∴ Time taken by tap P to empty 2/3rd tank = (120/4) × 2/3 = 20 hours

Related Questions

Given below are quantities named A,B and C. Based on the given information, you have to determine the relation between the quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer. Quantity A: Tap1 and Tap2 can fill the tank in 16 hours and 25 hours respectively. Both the taps opened together. After some time Tap 1 is closed and after that the tank is filled in 12 hours. In how many hour Tap 1 and 2 work together? Quantity B: Three taps 1, 2, 3 can fill a cistern in 10,14,18 hours respectively. If tap 1 is kept open all the time and tap 2 and 3 is opened alternatively for an hour then find in how many hours the tank will be filled? Quantity C: Two taps 1 and 2 are such that tap 1 fills the tank in 10 hours and tap2 empties it in 20 hours. If tap 1 is opened first and after 5 hours tap 1 is closed and tap 2 is opened, then the tank emptied in x hours and find the value of x?
The following questions have three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. In how many hours tap B can fill the completely empty tank? Statement I: The inlet tap A and the outlet tap C working simultaneously takes 40 hours to fill the tank. Statement II: Efficiency of inlet tap B is equal to efficiency of outlet tap C or 62.5% of the efficiency of inlet tap A. Statement III: The outlet tap C can empty a half filled tank in 12 hours.
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.
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.
A cistern is fitted with many inlets and outlet taps. All inlet taps fill the cistern at the same rate and outlet taps empty the cistern at the same rate. The empty cistern gets filled in 10 hours when 9 inlet and 5 outlet taps are opened. It takes 30 hours when 6 inlets and 5 outlets are opened. How much time does it take for the empty cistern to completely get filled if 2 inlets and 2 outlet taps are opened?
A tank has an optional adjustable outlet pipe that can be attached to the tank at any height we want. This outlet pipe drains water from the tank at a constant rate, while the tank is being filled using another inlet pipe at a constant rate. If the outlet, pipe is attached at half the height of the tank, the tank, which is initially empty gets filled in 18 hours. If the outlet pipe is attached at height equal to two third height of the tank, the tank, which is initially empty, is filled in 16 hours. In how many hours will the tank, which is initially empty, be completely filled if the outlet pipe is not attached to the tank?
Tap A and B can fill the tank in 20 hours and 25 hours respectively. Tap C and D can empty the tank in 40 hours and 60 hours respectively. Tap A and B opened till half of the tank is filled. Then, tap A, B and C opened to fill 1/4th of tank gets filled. To fill remaining tank, all four taps are opened. Approximately, in what time tank will completely filled?
5 taps are connected to a tank among which 3 taps (A, B and C) are inlet taps and 2 taps (P and Q) are outlet taps. A, B and C can fill the tank in 24 minutes, 30 minutes and 36 minutes respectively while taps P and Q can empty the tanks in 15 minutes and 45 minutes respectively. If tap B is opened after 5 minutes and tap P is opened 5 minutes after tap B, find the time taken to fill the tank completely.
Tap A alone can fill the tank in 30 hours while tap B alone can fill the tank in 12 hours. Tap C empties the filled tank. When all three taps are opened then the tank gets emptied in 20 hours. In what time the tank gets emptied when Tap C is opened after 1/4th of the tank is filled by tap A and tap B?