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.?

Question

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.?

36 minutes
24 minutes
30 minutes
26 minutes

LohaHridoy

9 views

2025-01-04 04:42

1 Answers

Related Questions

Consider socket API on a Linux machine that supports connected UDP sockets. A connected UDP socket is a UDP socket on which connect function has already been called. Which of the following statements is/are CORRECT I. A connected UDP socket can be used to communicate with multiple peers simultaneously. II. A process can successfully call connect function again for an already connected UDP socket.?

1 Answers 4 Views

Pipe A can fill a tank in 10 min and pipe B can fill it in 15 min. There is an outlet pipe C which can empty the tank at the rate of 44 liters water per minute.If all the pipes are opened together; the tank will empty in 1 hr. Find capacity of the tank.?

1 Answers 8 Views

Two cars start from 2 cities P and Q at same time. Car A which started from city P travels 25% of the distance at 75 Km/hr and next 50% distance at 45 Km/hr and remaining distance at 50 Km/h. At the same time Car B which started from city Q covered its journey in 3 equal phases of time at a speed of 30 Km/h, 60 Km/h and 90 Km/h. If the distance P and Q is 900Km, find the time after which the two cars cross each other?

1 Answers 10 Views

Tap A can fill 1/4th of tank in D hours and the remaining tank can be filled by tap B in (D + 16) hours. A is 40% more efficient than B. Both the taps are opened to fill the tank, but A was working with 2/7th of its efficiency and B was working with 2/5th of its efficiency, after few hours, they started working with their full efficiency, and remaining tank is filled in 10 hours. Find the time for which taps didn’t work with their full efficiency?

1 Answers 5 Views

Pipe A and B can fill a tank in 15 and 12 hours respectively and a pipe C can empty a tank in 20 hours, if all the pipes are opened together then find the time in which half of the tank gets filled?

1 Answers 5 Views

One fifth of a tank is filled by pipe at the rate of 10 lit/h, three - fifth of a tank is filled by pipe at the rate of 15 lit/h and rest at the rate of 5 lit/h. If average rate of pipe at which tank will completely get filled is 'A' lit/hr then, find the value of 'A'?

1 Answers 4 Views

There are two inlet pipe in the tank which can fill the tank in 15 and 20 hours respectively. There are two leaks in the tank too, having same efficiency one at the bottom of the tank and other at 3/4th height of the tank. Find the time in which the tank will get filled, if the bottom leak can empty the tank in 30 hours.?

1 Answers 4 Views

Pipes A, B, C and D can alone fill an empty tank in 3, 6, 4 and 12 hours respectively. Which of the following pipes can together fill the tank in 2 hours?

1 Answers 4 Views

A jogger passes by a tree while jogging and stops after 5 minutes. After 10 more minutes he encounters a train moving at speed of 60 m/s then find speed of jogger with which he was running if train of 120 m length crosses tree (last coach passes by tree) after 4 minutes after it encountered jogger (first coach passes by jogger)?

1 Answers 5 Views

In the question three statements are given, followed by three conclusions, I, II and III. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statement I: All lakes are pools Statement II: No tanks are pools Statement III: Some seas are lakes Conclusion I: Some seas are pools Conclusion II: Some tanks are lakes Conclusion III: No lakes are tanks?

1 Answers 5 Views

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

Option 1 : 36 minutes

Tap A can fill the tank in 24 minutes

⇒ In 1 minute tank filled with A = 1/24

Tap B can fill the tank in 30 minutes

⇒ In 1 minute tank filled with B = 1/30

Tap C can fill the tank in 36 minutes

⇒ In 1 minute tank filled with C = 1/36

Tap P can empty the tank in 15 minutes

⇒ In 1 minute, it can empty 1/15 part of tank.

Tap Q can empty the tank in 45 minutes

⇒ In 1 minute, it can empty 1/45 part of tank.

Initially tap A, C and Q are opened for 5 minutes

⇒ Tank filled in first 5 minutes = 5 × (1/24 + 1/36 – 1/45)

⇒ 5 × (5/72 – 1/45) = 85/360

Tap B is also opened for next 5 minutes.

So, the tank filled in next 5 minutes = 85/360 + 5 × 1/30

⇒ 145/360

Tank filled in first 10 minutes = 85/360 + 145/360 = 23/36

Now, tap P is also opened

Effective filling of tank in 1 minute = (1/24 + 1/30 + 1/36) – (1/15 + 1/45)

⇒ 37/360 – 32/360

⇒ 5/360 = 1/72

We need to fill 13/36 part of tank now

It will take 26 minutes more to fill the tank completely.

Total time taken to fill the tank completely = 5 + 5 + 26 = 36

∴ 36 minutes is required to fill the tank completely.