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A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?

A.

24 hrs

B.

28 hrs

C.

32 hrs

D.

36 hrs

Answer with explanation

Answer: Option BExplanation

Explanation:

1/A + 1/B + 1/C = 1/8 (Given)

Also given that A = 2B and B = 2C

=> 1/2B + 1/B + 2/B = 1/8

=> (1 + 2 + 4)/2B = 1/8

=> 2B/7 = 8

=> B = 28 hours.

Workspace

A cistern has three pipes, A, B and C. The pipes A and B can fill it in 4 and 5 hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?

A.

3 PM

B.

4 PM

C.

5 PM

D.

7 PM

Answer with explanation

Answer: Option CExplanation

1 to 2 = 1/4

2 to 3 = 1/4 + 1/5 = 9/20

After 3 AM = 1/4 + 1/5 – 1/2 = -1/20

1/4 + 9/20 = 14/20

1 h —- 1/20

? —– 14/20

14 hours ==> 5 PM

Workspace

Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?

A.

25 hrs

B.

20 hrs

C.

28 hrs

D.

35 hrs

Answer with explanation

Answer: Option BExplanation

1/x + 1/(x + 10) = 1/12

x = 20

Workspace

Two pipes A and B can separately fill a tank in 12 and 15 minutes respectively. A third pipe C can drain off 45 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank

A.

480 liters

B.

540 liters

C.

600 liters

D.

675 liters

Answer with explanation

Answer: Option BExplanation

1/12 + 1/15 – 1/x = 1/15

x = 12

12 * 45 = 540

Workspace

3 pipes when opened for 3 hours can fill 3 buckets. How many buckets can 2 pipes open for 2 hours approximately fill?

A.

2/3 bucket

B.

4/3 bucket

C.

2 buckets

D.

1 bucket

Answer with explanation

Answer: Option BExplanation

2 pipes open for 2 hours will fill = (2/3) x (2/3) x 3 = 4/3 buckets

Workspace

A water tank has holes. The 1st hole alone empties the tank in 9 min and 2nd hole alone empties the tank in 6 min. If water leaks out at a constant rate, how many min does it take if both the holes together empty the tank?

A.

33/5

B.

3 2/5

C.

3/5

D.

3 1/5

Answer with explanation

Answer: Option AExplanation

33/5

Workspace

A water tank is 2/5 th full. Inlet A can fill the tank in 12 minutes while an outlet pipe B can empty it in 6minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?

A.

It fills in 4.8 min

B.

It empties in 4.8 mins

C.

It empties in 5.6 min

D.

*I*t fills in 5.6 min

Answer with explanation

Answer: Option AExplanation

It fills in 4.8 min

Workspace

One fill pipe A is 3 times faster than second fill pipe B and takes 32 minutes less than the fill pipe B. When will the cistern be full if both pipes are opened together?

A.

12 min

B.

6 min

C.

10 min

D.

8 min

Answer with explanation

Answer: Option AExplanation

Let pipe A takes p min to fill

Then,

pipe B takes 3p min to fill

=> 3p – p = 32

=> p = 16 min => 3p = 48 min

Required, both pipes to fill = (48 x 16)/(48 + 16) min = 12 min.

Workspace

A Tank is normally filled in 9 hours but takes four hours longer to fill because of a leak in its bottom. If the tank is full, the leak will empty it in ?

A.

32.5 hrs

B.

29.25 hrs

C.

30.30 hrs

D.

31 hrs

Answer with explanation

Answer: Option CExplanation

Let the leak will empty the tank in x hrs

Then, 1/9 – 1/x = 1/13

x = 29.25 hrs

Workspace

A large tanker can be filled by two pipes A and B in 60 and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half ?

A.

31 mins

B.

29 mins

C.

28 mins

D.

30 mins

Answer with explanation

Answer: Option DExplanation

Part filled by (A + B) in 1 minute = (1/60 + 1/40) = 1/24

Suppose the tank is filled in x minutes.

Then, x/2(1/24 + 1/40) = 1

(x/2) * (1/15) = 1 => x = 30 min.

Workspace

A.

400 liters

B.

300 liters

C.

350 liters

D.

375 liters

Answer with explanation

Answer: Option BExplanation

Let the inlet pipe take X minutes to fill the tank.

Part of the tank filled by the inlet in a minute = (1/x)

Part of the tank emptied by the outlet in a minute = 1/(5*60) = 1/300

Part of the tank filled in the first 30 minutes = 30×[(1/x)-(1/300)] = (300 – X)/10x

Part of the tank filled in the next 36 minutes = 36*(1/x) 1 – [(300 – x)/10x] 36/x

Solving, x = 60 Capacity of the tank = 60 × 5 = 300 liters

Workspace

A.

6

B.

8

C.

7

D.

4

Answer with explanation

Answer: Option CExplanation

(x/8)-[(12-x)/6] = 1/24

x = 7

Workspace

A pipe can fill a tank in 12 minutes and another pipe can fill it in 15 minutes, but a third pipe can empty it in 6 minutes. The first two pipes are kept open for 5 min in the beginning and then third pipe is also opened. Time taken to empty the water tank is?

A.

30 mins

B.

25 mins

C.

45 mins

D.

50 mins

Answer with explanation

Answer: Option CExplanation

x/6 – (x+5)/12 – (x+5)/15 = 0

x = 45 mins

Workspace

A pipe can fill a cistern in 8 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the cistern completely?

A.

3 hours

B.

2 hours

C.

5 hours

D.

4 hours

Answer with explanation

Answer: Option CExplanation

In One hour pipe can fill = 1/8

Time is taken to fill half of the tank = 1/2 * 8 = 4 hours

Part filled by four pipes in one hour = (4*1/8) = 1/2

Required Remaining Part = 1/2

Total time = 4 + 1 = 5

Workspace

Two pipes P and Q can fill a cistern in 10 hours and 20 hours respectively. If they are opened simultaneously. Sometimes later, tap Q was closed, then it takes total 8 hours to fill up the whole tank. After how many hours Q was closed?

A.

4 hours

B.

5 hours

C.

2 hours

D.

6 hours

Answer with explanation

Answer: Option AExplanation

Pipe P Efficiency = 100/10 = 10%

Pipe Q Efficiency = 100/20 = 5%

Net Efficiency = 15%

15x + 10(8-x) = 100

x = 4

Workspace

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