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Two pipes can fill the tank in 4hrs 5hrs respectively while the third pipe can empty the tank in 20hrs, if all the pipes are opened together, then the tank will be filled in
  • a)
    2.30hrs
  • b)
    2.50hrs
  • c)
    3.20hrs
  • d)
    3.30hrs
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Two pipes can fill the tank in 4hrs 5hrs respectively while the third ...
1/4+1/5 -1/20 = 5+4-1/20 = 8/20
20/8 ⇒ 2(1/2)hrs
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Most Upvoted Answer
Two pipes can fill the tank in 4hrs 5hrs respectively while the third ...
Given Data:
- Pipe A can fill the tank in 4 hours
- Pipe B can fill the tank in 5 hours
- Pipe C can empty the tank in 20 hours

Approach:
- Calculate the fraction of the tank filled by each pipe in 1 hour
- Find the combined rate of filling/emptying when all pipes are open simultaneously
- Use the combined rate to calculate the time taken to fill the tank

Calculations:
- Pipe A fills 1/4 of the tank in 1 hour
- Pipe B fills 1/5 of the tank in 1 hour
- Pipe C empties 1/20 of the tank in 1 hour
- Combined rate = (1/4 + 1/5 - 1/20) = 9/20 of the tank in 1 hour
- Therefore, the tank will be filled in 20/9 hours when all pipes are open together

Final Answer:
- 20/9 hours = 2.22 hours ≈ 2 hours and 13 minutes
- Therefore, the tank will be filled in approximately 2 hours and 13 minutes, which is closest to option A (2.30 hours)
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Two pipes can fill the tank in 4hrs 5hrs respectively while the third pipe can empty the tank in 20hrs, if all the pipes are opened together, then the tank will be filled ina)2.30hrsb)2.50hrsc)3.20hrsd)3.30hrse)None of theseCorrect answer is option 'A'. Can you explain this answer?
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Two pipes can fill the tank in 4hrs 5hrs respectively while the third pipe can empty the tank in 20hrs, if all the pipes are opened together, then the tank will be filled ina)2.30hrsb)2.50hrsc)3.20hrsd)3.30hrse)None of theseCorrect answer is option 'A'. 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 Two pipes can fill the tank in 4hrs 5hrs respectively while the third pipe can empty the tank in 20hrs, if all the pipes are opened together, then the tank will be filled ina)2.30hrsb)2.50hrsc)3.20hrsd)3.30hrse)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes can fill the tank in 4hrs 5hrs respectively while the third pipe can empty the tank in 20hrs, if all the pipes are opened together, then the tank will be filled ina)2.30hrsb)2.50hrsc)3.20hrsd)3.30hrse)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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