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Two pipes can fill a tank in 10 and 12 minutes respectively and a waste pipe can empty 2 gallons per minute. All the three pipes working together can fill the tank in 6 minutes. The capacity of the tank is:
  • a)
    120 gallons
  • b)
    100 gallons
  • c)
    150 gallons
  • d)
    200 gallons
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Two pipes can fill a tank in 10 and 12 minutes respectively and a wast...
Given Information:
- Pipe A fills the tank in 10 minutes.
- Pipe B fills the tank in 12 minutes.
- Waste pipe empties 2 gallons per minute.
- All three pipes together fill the tank in 6 minutes.

Calculating Individual Rates:
- Rate of filling for Pipe A = 1/10 tank/minute
- Rate of filling for Pipe B = 1/12 tank/minute
- Rate of emptying for Waste pipe = 2 gallons/minute

Calculating Combined Rate:
Let the capacity of the tank be x gallons.
- Combined rate of filling = 1/10 + 1/12 - 2 (as the waste pipe is emptying)
- Combined rate of filling = (12 + 10 - 20)/(10 * 12)
- Combined rate of filling = 2/120 tank/minute
- Combined rate of filling = 1/60 tank/minute

Calculating Time to Fill:
- Time taken to fill the tank with all three pipes working together = 6 minutes
- Using the combined rate formula: 1/60 = x/6
- Solving for x, we get x = 6 * 1/60 = 1/10
- Therefore, the capacity of the tank is 120 gallons.
Therefore, the correct answer is option A
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Two pipes can fill a tank in 10 and 12 minutes respectively and a waste pipe can empty 2 gallons per minute. All the three pipes working together can fill the tank in 6 minutes. The capacity of the tank is:a)120 gallonsb)100 gallonsc)150 gallonsd)200 gallonsCorrect answer is option 'A'. Can you explain this answer?
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Two pipes can fill a tank in 10 and 12 minutes respectively and a waste pipe can empty 2 gallons per minute. All the three pipes working together can fill the tank in 6 minutes. The capacity of the tank is:a)120 gallonsb)100 gallonsc)150 gallonsd)200 gallonsCorrect answer is option 'A'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two pipes can fill a tank in 10 and 12 minutes respectively and a waste pipe can empty 2 gallons per minute. All the three pipes working together can fill the tank in 6 minutes. The capacity of the tank is:a)120 gallonsb)100 gallonsc)150 gallonsd)200 gallonsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes can fill a tank in 10 and 12 minutes respectively and a waste pipe can empty 2 gallons per minute. All the three pipes working together can fill the tank in 6 minutes. The capacity of the tank is:a)120 gallonsb)100 gallonsc)150 gallonsd)200 gallonsCorrect answer is option 'A'. Can you explain this answer?.
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