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Pipe A and B can fill a Tank alone in 12 Hours and 6 Hours respectively. Another Pipe C can empty the same Tank alone in 9 Hours. In an empty Tank for the First hour, Pipe A is opened alone, Second Hour pipe B is opened alone, Third Hour pipe C is opened alone. This process is continued until the Tank is filled. Then Pipe A is opened for How many Hours?
  • a)
    7 Hours
  • b)
    7 Hours 10 Min
  • c)
    7 Hours 15 Min
  • d)
    7 Hours 20 Min
  • e)
    None
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Pipe A and B can fill a Tank alone in 12 Hours and 6 Hours respectivel...
3 hours work = 1/12+ 1/6 – 1/9 = 5/36
7*3 hours work = 35/36
remaining work = 1/36
Now its pipe A turn = 1/36*12 = 1/3 hour
Total = 7 hours + 20 min
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Most Upvoted Answer
Pipe A and B can fill a Tank alone in 12 Hours and 6 Hours respectivel...
3 hours work = 1/12+ 1/6 – 1/9 = 5/36
7*3 hours work = 35/36
remaining work = 1/36
Now its pipe A turn = 1/36*12 = 1/3 hour
Total = 7 hours + 20 min
Free Test
Community Answer
Pipe A and B can fill a Tank alone in 12 Hours and 6 Hours respectivel...
Given Information:
- Pipe A fills the tank alone in 12 hours.
- Pipe B fills the tank alone in 6 hours.
- Pipe C empties the tank alone in 9 hours.

Approach:
1. Calculate the filling rates of each pipe.
2. Determine the net filling rate of the tank when all three pipes are opened.
3. Calculate the time taken to fill the tank completely.
4. Calculate the time for which each pipe is opened.
5. Find the time for which Pipe A is opened.

Calculation:
1. Filling rates of each pipe:
- Pipe A fills 1/12th of the tank in 1 hour (1 tank / 12 hours).
- Pipe B fills 1/6th of the tank in 1 hour (1 tank / 6 hours).
- Pipe C empties 1/9th of the tank in 1 hour (-1 tank / 9 hours).

2. Net filling rate of the tank:
- When all three pipes are opened, the net filling rate is the sum of the individual rates.
- Net filling rate = (1/12) + (1/6) + (-1/9) = (3 + 6 - 4) / 36 = 5/36 tank per hour.

3. Time taken to fill the tank completely:
- In the first hour, Pipe A fills 1/12th of the tank.
- In the second hour, Pipe B fills 1/6th of the tank.
- In the third hour, Pipe C empties 1/9th of the tank.
- So, in the first three hours, the net filling rate is (1/12) + (1/6) + (-1/9) = (3 + 6 - 4) / 36 = 5/36 tank per hour.
- The tank will be completely filled in (36/5) hours.

4. Time for which each pipe is opened:
- In the first hour, Pipe A is opened alone.
- In the second hour, Pipe B is opened alone.
- In the third hour, Pipe C is opened alone.
- This process continues until the tank is filled.

5. Time for which Pipe A is opened:
- Pipe A is opened for the first hour and then in a repeating pattern.
- The tank is completely filled in (36/5) hours.
- Pipe A is opened for (36/5) / 3 = 12/5 hours.

Final Answer:
Therefore, Pipe A is opened for 7 hours and 20 minutes (12/5 hours = 7 hours and 20 minutes). Hence, option D is the correct answer.
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Pipe A and B can fill a Tank alone in 12 Hours and 6 Hours respectively. Another Pipe C can empty the same Tank alone in 9 Hours. In an empty Tank for the First hour, Pipe A is opened alone, Second Hour pipe B is opened alone, Third Hour pipe C is opened alone. This process is continued until the Tank is filled. Then Pipe A is opened for How many Hours?a)7 Hoursb)7 Hours 10 Minc)7 Hours 15 Mind)7 Hours 20 Mine)NoneCorrect answer is option 'D'. Can you explain this answer?
Question Description
Pipe A and B can fill a Tank alone in 12 Hours and 6 Hours respectively. Another Pipe C can empty the same Tank alone in 9 Hours. In an empty Tank for the First hour, Pipe A is opened alone, Second Hour pipe B is opened alone, Third Hour pipe C is opened alone. This process is continued until the Tank is filled. Then Pipe A is opened for How many Hours?a)7 Hoursb)7 Hours 10 Minc)7 Hours 15 Mind)7 Hours 20 Mine)NoneCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Pipe A and B can fill a Tank alone in 12 Hours and 6 Hours respectively. Another Pipe C can empty the same Tank alone in 9 Hours. In an empty Tank for the First hour, Pipe A is opened alone, Second Hour pipe B is opened alone, Third Hour pipe C is opened alone. This process is continued until the Tank is filled. Then Pipe A is opened for How many Hours?a)7 Hoursb)7 Hours 10 Minc)7 Hours 15 Mind)7 Hours 20 Mine)NoneCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pipe A and B can fill a Tank alone in 12 Hours and 6 Hours respectively. Another Pipe C can empty the same Tank alone in 9 Hours. In an empty Tank for the First hour, Pipe A is opened alone, Second Hour pipe B is opened alone, Third Hour pipe C is opened alone. This process is continued until the Tank is filled. Then Pipe A is opened for How many Hours?a)7 Hoursb)7 Hours 10 Minc)7 Hours 15 Mind)7 Hours 20 Mine)NoneCorrect answer is option 'D'. Can you explain this answer?.
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