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A Cistern is filled by pipe A in 8 hrs and the full Cistern can be leaked out by an exhaust pipe B in 12 hrs. If both the pipes are opened in what time the Cistern is full?
- a)12 hrs
- b)24 hrs
- c)16 hrs
- d)32 hrs
Correct answer is option 'B'. Can you explain this answer?
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A Cistern is filled by pipe A in 8 hrs and the full Cistern can be lea...
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A Cistern is filled by pipe A in 8 hrs and the full Cistern can be lea...
Given Data:
- Pipe A fills the cistern in 8 hours.
- Pipe B can empty the cistern in 12 hours.
Approach:
- First, find the rate of filling of pipe A and rate of emptying of pipe B.
- Then, calculate the net rate of both pipes working together.
- Use the net rate to find the time taken to fill the cistern.
Calculation:
- Rate of filling by pipe A = 1/8 cistern/hour
- Rate of emptying by pipe B = 1/12 cistern/hour
- Net rate of filling when both pipes are open = (1/8) - (1/12) = 1/24 cistern/hour
- Time taken to fill the cistern when both pipes are open = 1 / (1/24) = 24 hours
Therefore, the cistern will be filled in 24 hours when both pipes A and B are open simultaneously. Hence, the correct answer is option 'B' (24 hrs).
- Pipe A fills the cistern in 8 hours.
- Pipe B can empty the cistern in 12 hours.
Approach:
- First, find the rate of filling of pipe A and rate of emptying of pipe B.
- Then, calculate the net rate of both pipes working together.
- Use the net rate to find the time taken to fill the cistern.
Calculation:
- Rate of filling by pipe A = 1/8 cistern/hour
- Rate of emptying by pipe B = 1/12 cistern/hour
- Net rate of filling when both pipes are open = (1/8) - (1/12) = 1/24 cistern/hour
- Time taken to fill the cistern when both pipes are open = 1 / (1/24) = 24 hours
Therefore, the cistern will be filled in 24 hours when both pipes A and B are open simultaneously. Hence, the correct answer is option 'B' (24 hrs).
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A Cistern is filled by pipe A in 8 hrs and the full Cistern can be leaked out by an exhaust pipe B in 12 hrs. If both the pipes are opened in what time the Cistern is full? a)12 hrsb)24 hrsc)16 hrsd)32 hrsCorrect answer is option 'B'. Can you explain this answer? for LR 2026 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about A Cistern is filled by pipe A in 8 hrs and the full Cistern can be leaked out by an exhaust pipe B in 12 hrs. If both the pipes are opened in what time the Cistern is full? a)12 hrsb)24 hrsc)16 hrsd)32 hrsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for LR 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A Cistern is filled by pipe A in 8 hrs and the full Cistern can be leaked out by an exhaust pipe B in 12 hrs. If both the pipes are opened in what time the Cistern is full? a)12 hrsb)24 hrsc)16 hrsd)32 hrsCorrect answer is option 'B'. Can you explain this answer?.
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