Two pipes, A and B can fill an empty tank in 8 hours and 12 hours respectively, whereas pipe C can empty a full tank in 6 hours. When the tank is empty, pipes A and B are opened and, after 2 hours, pipe C is also opened. In how many hours will the tank be completely filled?

Question

Two pipes, A and B can fill an empty tank in 8 hours and 12 hours respectively, whereas pipe C can empty a full tank in 6 hours. When the tank is empty, pipes A and B are opened and, after 2 hours, pipe C is also opened. In how many hours will the tank be completely filled?

12
16
14
18

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

Related Questions

Pipes A and B can fill an empty cistern in 6 hours and 4 hours respectively, while pipe C can empty the whole cistern in 8 hours. Initially, pipes A and B were simultaneously opened in the cistern. After 2 hours, they were closed and pipe C was opened. After 2 hours, pipe C was also closed. Now, in how much time will the tank be full, if the pipes A and B are simultaneously opened?

1 Answers 4 Views

Pipe A can fill the tank in 6 hours, while pipe B can fill it in 8 hours working separately. Pipe C can empty whole tank in 10 hours. A man opened the pipe A and B simultaneously to fill the empty tank. He wanted to adjust an alarm so that he could open pipe C when tank is half filled but mistakenly set alarm for time when tank is 3/4th filled. What is the difference between both the cases to fill tank fully?

1 Answers 8 Views

Pipe A can fill an empty tank in 30 minutes, Pipe B can empty the same filled tank in 2 hours and Pipe C can empty the same filled tank in 5 hours. If all these are opened together when the tank is empty, then in how many hours will the tank be filled?

1 Answers 4 Views

Two pipes A and B can fill a tank in 4 hours and 6 hours respectively, whereas pipe C can empty the full tank in 3 hours. When the tank is empty. Pipe A and B is opened for 2 hours, then pipe C is opened, In how many hours the tank will be filled after pipe C was opened?

1 Answers 5 Views

Two pipes A and B alone can fill the empty tank in 4 hours and 8 hours respectively. Pipe C can empty the full tank in 5 hours. Pipes A and B are opened when tank is empty and, after 2 hours, pipe C is opened. In how many hours will the tank be filled?

1 Answers 4 Views

Two pipes A and B can fill an empty tank in 8 hours and 12 hours respectively. A third pipe C can empty the full tank in 15 hours. When the tank is empty, pipes A and B are opened and after 2 hours pipe A is closed and pipe C is opened. In how many hours, the tank will be completely filled?

1 Answers 7 Views

Pipe A alone can fill the tank in 30 hours and pipe B alone can fill the tank in 15 hours. Pipe C alone can empty the tank in N hours. When all three pipes are opened then tank can completely filled in 12 hours. Find the time taken by pipe C to empty the tank.?

1 Answers 4 Views

Pipe A can fill a tank 18 hours while pipe B can empty a tank in 12 hours. Both the pipes are opened when the tank was completely filled. Pipe B is closed after 12 hours. If pipe A along with C can fill the tank, which is emptied in 4 hours, then find the time taken by pipe C to fill the completely empty tank alone ?

1 Answers 5 Views

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.?

1 Answers 10 Views

A question is given followed by information in three statements. You have to find out the data in which statement(s) is sufficient to answer the question and mark your answer accordingly. Pipe A can fill the tank in 30 minutes and pipe B also fills the tank in some time. Pipe C alone completely empty the filled tank in 15 minutes, then B alone can fill a completely empty tank when pipe C is shut I) A, B and C together they fill the tank in 60 minutes. II) A and B together fill the tank in 12 minutes.?

1 Answers 5 Views

AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 2 : 16

Given:

Pipe A can fill a tank in 8 hours

Pipe B can fill a tank in 12 hours

Pipe C can empty the tank in 6 hours

Formula used:

Work done = Time × Efficiency

Time ∝ 1/Efficiency

Calculation:

In one hour pipe, A can fill 1/8

In one hour pipe B can fill 1/12

In one hour pipe C can empty 1/6

If pipe A and B opened for 2 hours

(1/8 + 1/12) × 2

⇒ (5/24) × 2 = 5/12

Part of tank not filled

1 - 5/12 = 7/12

Now pipe C is opened

5/24 - 1/6 = 1/24

1/6 part will be filled in

(7/12)/(1/24)

⇒ 7 × 2 = 14 hours

The tank will be filled completely in

14 + 2 = 16 hours

∴ 16 hours is the right answer.