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.?

Question

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.?

Quantity A > Quantity B
Quantity A < Quantity B
Either Quantity A = Quantity B or no relation can be established
Quantity A ≥ Quantity B
Quantity A ≤ Quantity B

LohaHridoy

10 views

2025-01-04 04:42

1 Answers

Related Questions

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?

1 Answers 4 Views

There are 4 pipes P, Q, R, S connected to a tank with some of them being inlet and some of them being outlet. The time taken by them to fill the tank is 5 hours, 10 hours, 7.5 hours, and 15 hours respectively. It took 6 hours to fill the tank completely when all 4 taps were open . Which are the inlet pipes?

1 Answers 4 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 I: Pipe A alone can fill the tank in 15 hours while pipe B alone can empty the tank in 5 hours. There is a leakage at the bottom which also alone can empty the tank in 4 hours. When pipe A and Pipe B are open simultaneously then in how many hours the tank gets empty Quantity II: 25 men can complete the work in 20 hours and 30 women can complete the work in 15 hours. If 15 men work for 10 hours then stopped working then remaining work gets completed by all 30 women. In what time total works get completed?

1 Answers 5 Views

Two inlet pipes, one of which is twice the efficiency of the other. There is also a third outlet pipe which can empty the fully filled tank in 10 hours. When all three pipes are open simultaneously, it takes 2.5 hours to fill the tank completely. How many hours will it take to fill the tank alone with a low efficiency pipe?

1 Answers 5 Views

An inlet pipe and an outlet pipe are taking to fill and drain a cistern, respectively, for an hour each at a time, starting with the inlet pipe when the cistern is empty. It takes the inlet pipe 15 hours to fully fill the empty cistern, whereas the outlet pipe can drain the filled cistern completely in 21 hours. How many hours will it take for the cistern to be full?

1 Answers 8 Views

The following question, there are three statements I, II and III. Read the question carefully and mark your answer according to which statements(s) is/are sufficient to the answer the question. In how much time can three pipes P1, P2 and P3 together fill an empty tank which has a leak at the bottom Statement I: Pipe P1 and P2can fill the tank completely in 30 minutes with the leak Statement II: Pipe P3 alone can fill the tank completely in 110 minutes if there is no leak at the bottom Statement III: When there is no leak at the bottom of the tank, the ratio of the time taken by all the three pipes P1, P2, P3 is 2 : 2 : 3?

1 Answers 4 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

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: If Rs.11800 is divided among three friends A, B and C in the Ratio 2A : 5B : 7C then find the share of A. Quantity B: The ratio of the incomes of A and B is 3 : 5, whereas the ratio of their expenditures is 4 : 7 respectively. If A and B save Rs. 16,000 and Rs. 26,000, respectively, then what is the difference (in Rs.) between their expenditures?

1 Answers 8 Views

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

Option 2 : Quantity A < Quantity B

Quantity A:

Time taken by A to fill the tank = x hours

⇒ Tank filled by A in 1 hour = 1/x

Time taken by B to fill the tank = (x + 7) hours

⇒ Tank filled by B in 1 hour = 1/(x + 7)

Two outlet pipes can empty the tank in 3.5 hours and their efficiency is same

⇒ C + D = 1/3.5

⇒ 2C = 1/3.5 ----(C = D)

⇒ C = 1/7

∴ C = D = 7 hours

Working together they can fill the tank in 2 hours

⇒ 1/A + 1/B – 1/C – 1/D = 1/2

⇒ 1/x + 1/(x + 7) – (1/7) – (1/7) = 1/2

⇒ 1/x + 1/x + 7 = 1/2 – 1/7 – 1/7

⇒ (2x + 7)/(x)(x + 7) = 3/14

⇒ 3x² – 7x – 98 = 0

⇒ 3x² – 21x + 14x – 98 = 0

⇒ 3x(x – 7) + 14(x – 7) = 0

⇒ x = 7, -14/3

Rejecting -14/3 as work can’t be negative

∴ Time taken by A to fill the tank alone = 7 hrs

Quantity B:

The ratio of efficiencies of two pipes A and B is in the ratio 3 ∶ 2

The ratio of efficiencies of two pipes B and C is in the ratio 1 ∶ 3

Equating the coefficient of B in both the ratios

The ratio of efficiencies of two pipes B and C = 2 ∶ 6

∴ Ratio of efficiency of A, B and C = 3 ∶ 2 ∶ 6

Let the time taken by A, B and C be 3x, 2x and 6x

Working together they can fill the tank in 7.5 hours

⇒ 1/3x + 1/2x – 1/6x = 1/7.5

⇒ 4/6x = 1/7.5

⇒ x = 5

∴ Time taken by A to fill the tank alone = 5 × 3 = 15 hours

Hence Quantity A < Quantity B