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Three pipes A, B and C is attached to a cistern. A can fill it in 20 minutes and B can fill it in 30 minutes. C is a waste pipe. After opening both the pipes A and B, Riya leaves the cistern to fill and returns when the cistern is supposed to be filled. But she found that waste pipe C had been left open, she closes it and now the cistern takes 5 minutes more to fill. In how much time the pipe C can empty the full cistern?
- a)26.8 minutes
- b)25.8 minutes
- c)27.8 minutes
- d)28.8 minutes
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Three pipes A, B and C is attached to a cistern. A can fill it in 20 m...
The tank supposed to be filled in (30*20)/50 = 12 minutes
so, (1/20 + 1/30)*12 – 12/C + (1/20 + 1/30)*5 = 1 (A and B work for 12 minutes and also C work for 12 minutes and then A and B takes 5 more minutes to fill the tank)
solve for C, we will get C = 144/5 = 28.8
so, (1/20 + 1/30)*12 – 12/C + (1/20 + 1/30)*5 = 1 (A and B work for 12 minutes and also C work for 12 minutes and then A and B takes 5 more minutes to fill the tank)
solve for C, we will get C = 144/5 = 28.8
Most Upvoted Answer
Three pipes A, B and C is attached to a cistern. A can fill it in 20 m...
Problem: Three pipes A, B, and C are attached to a cistern. A can fill it in 20 minutes and B can fill it in 30 minutes. C is a waste pipe. After opening both pipes A and B, Riya leaves the cistern to fill and returns when the cistern is supposed to be filled. But she found that waste pipe C had been left open, she closes it and now the cistern takes 5 minutes more to fill. In how much time the pipe C can empty the full cistern?
Solution:
Let the capacity of the cistern be C.
The filling rate of pipe A is C/20 per minute.
The filling rate of pipe B is C/30 per minute.
Let the emptying rate of pipe C be -C/x per minute (negative sign indicating emptying).
When both pipes A and B are open, the filling rate of the cistern is (C/20 + C/30) = (3C + 2C)/60 = 5C/60 = C/12 per minute.
Let the time taken to fill the cistern with pipes A and B open and pipe C closed be t minutes.
Then, the capacity of the partially filled cistern after time t is (C/12) * t.
When Riya returns and finds that the cistern is not full, she closes the waste pipe C.
Now, the effective filling rate of the cistern is (C/12 - C/x) per minute.
According to the problem, the cistern takes 5 more minutes to fill completely.
Therefore, we have (C/12 - C/x) * (t + 5) = C.
Simplifying this equation, we get (C/12 - C/x) * t = 5C.
Substituting the values, we get (C/12 - C/x) * t = 5C.
⇒ (C/x - C/12) * t = 5C.
⇒ [C(12 - x)/12] * t = 5C.
⇒ t = 60x/(12-x).
We know that t = 50 (since the cistern takes 5 more minutes to fill completely).
Thus, we have 60x/(12-x) = 50.
Simplifying this equation, we get x = 28.8.
Therefore, the waste pipe C can empty the full cistern in 28.8 minutes.
Hence, the correct answer is option D.
Solution:
Let the capacity of the cistern be C.
The filling rate of pipe A is C/20 per minute.
The filling rate of pipe B is C/30 per minute.
Let the emptying rate of pipe C be -C/x per minute (negative sign indicating emptying).
When both pipes A and B are open, the filling rate of the cistern is (C/20 + C/30) = (3C + 2C)/60 = 5C/60 = C/12 per minute.
Let the time taken to fill the cistern with pipes A and B open and pipe C closed be t minutes.
Then, the capacity of the partially filled cistern after time t is (C/12) * t.
When Riya returns and finds that the cistern is not full, she closes the waste pipe C.
Now, the effective filling rate of the cistern is (C/12 - C/x) per minute.
According to the problem, the cistern takes 5 more minutes to fill completely.
Therefore, we have (C/12 - C/x) * (t + 5) = C.
Simplifying this equation, we get (C/12 - C/x) * t = 5C.
Substituting the values, we get (C/12 - C/x) * t = 5C.
⇒ (C/x - C/12) * t = 5C.
⇒ [C(12 - x)/12] * t = 5C.
⇒ t = 60x/(12-x).
We know that t = 50 (since the cistern takes 5 more minutes to fill completely).
Thus, we have 60x/(12-x) = 50.
Simplifying this equation, we get x = 28.8.
Therefore, the waste pipe C can empty the full cistern in 28.8 minutes.
Hence, the correct answer is option D.
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Community Answer
Three pipes A, B and C is attached to a cistern. A can fill it in 20 m...
The tank supposed to be filled in (30*20)/50 = 12 minutes
so, (1/20 + 1/30)*12 – 12/C + (1/20 + 1/30)*5 = 1 (A and B work for 12 minutes and also C work for 12 minutes and then A and B takes 5 more minutes to fill the tank)
solve for C, we will get C = 144/5 = 28.8
so, (1/20 + 1/30)*12 – 12/C + (1/20 + 1/30)*5 = 1 (A and B work for 12 minutes and also C work for 12 minutes and then A and B takes 5 more minutes to fill the tank)
solve for C, we will get C = 144/5 = 28.8
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Three pipes A, B and C is attached to a cistern. A can fill it in 20 minutes and B can fill it in 30 minutes. C is a waste pipe. After opening both the pipes A and B, Riya leaves the cistern to fill and returns when the cistern is supposed to be filled. But she found that waste pipe C had been left open, she closes it and now the cistern takes 5 minutes more to fill. In how much time the pipe C can empty the full cistern?a)26.8 minutesb)25.8 minutesc)27.8 minutesd)28.8 minutese)None of theseCorrect answer is option 'D'. Can you explain this answer?
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Three pipes A, B and C is attached to a cistern. A can fill it in 20 minutes and B can fill it in 30 minutes. C is a waste pipe. After opening both the pipes A and B, Riya leaves the cistern to fill and returns when the cistern is supposed to be filled. But she found that waste pipe C had been left open, she closes it and now the cistern takes 5 minutes more to fill. In how much time the pipe C can empty the full cistern?a)26.8 minutesb)25.8 minutesc)27.8 minutesd)28.8 minutese)None of theseCorrect 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 Three pipes A, B and C is attached to a cistern. A can fill it in 20 minutes and B can fill it in 30 minutes. C is a waste pipe. After opening both the pipes A and B, Riya leaves the cistern to fill and returns when the cistern is supposed to be filled. But she found that waste pipe C had been left open, she closes it and now the cistern takes 5 minutes more to fill. In how much time the pipe C can empty the full cistern?a)26.8 minutesb)25.8 minutesc)27.8 minutesd)28.8 minutese)None of theseCorrect 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 Three pipes A, B and C is attached to a cistern. A can fill it in 20 minutes and B can fill it in 30 minutes. C is a waste pipe. After opening both the pipes A and B, Riya leaves the cistern to fill and returns when the cistern is supposed to be filled. But she found that waste pipe C had been left open, she closes it and now the cistern takes 5 minutes more to fill. In how much time the pipe C can empty the full cistern?a)26.8 minutesb)25.8 minutesc)27.8 minutesd)28.8 minutese)None of theseCorrect answer is option 'D'. Can you explain this answer?.
Three pipes A, B and C is attached to a cistern. A can fill it in 20 minutes and B can fill it in 30 minutes. C is a waste pipe. After opening both the pipes A and B, Riya leaves the cistern to fill and returns when the cistern is supposed to be filled. But she found that waste pipe C had been left open, she closes it and now the cistern takes 5 minutes more to fill. In how much time the pipe C can empty the full cistern?a)26.8 minutesb)25.8 minutesc)27.8 minutesd)28.8 minutese)None of theseCorrect 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 Three pipes A, B and C is attached to a cistern. A can fill it in 20 minutes and B can fill it in 30 minutes. C is a waste pipe. After opening both the pipes A and B, Riya leaves the cistern to fill and returns when the cistern is supposed to be filled. But she found that waste pipe C had been left open, she closes it and now the cistern takes 5 minutes more to fill. In how much time the pipe C can empty the full cistern?a)26.8 minutesb)25.8 minutesc)27.8 minutesd)28.8 minutese)None of theseCorrect 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 Three pipes A, B and C is attached to a cistern. A can fill it in 20 minutes and B can fill it in 30 minutes. C is a waste pipe. After opening both the pipes A and B, Riya leaves the cistern to fill and returns when the cistern is supposed to be filled. But she found that waste pipe C had been left open, she closes it and now the cistern takes 5 minutes more to fill. In how much time the pipe C can empty the full cistern?a)26.8 minutesb)25.8 minutesc)27.8 minutesd)28.8 minutese)None of theseCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Three pipes A, B and C is attached to a cistern. A can fill it in 20 minutes and B can fill it in 30 minutes. C is a waste pipe. After opening both the pipes A and B, Riya leaves the cistern to fill and returns when the cistern is supposed to be filled. But she found that waste pipe C had been left open, she closes it and now the cistern takes 5 minutes more to fill. In how much time the pipe C can empty the full cistern?a)26.8 minutesb)25.8 minutesc)27.8 minutesd)28.8 minutese)None of theseCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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Three pipes A, B and C is attached to a cistern. A can fill it in 20 minutes and B can fill it in 30 minutes. C is a waste pipe. After opening both the pipes A and B, Riya leaves the cistern to fill and returns when the cistern is supposed to be filled. But she found that waste pipe C had been left open, she closes it and now the cistern takes 5 minutes more to fill. In how much time the pipe C can empty the full cistern?a)26.8 minutesb)25.8 minutesc)27.8 minutesd)28.8 minutese)None of theseCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Three pipes A, B and C is attached to a cistern. A can fill it in 20 minutes and B can fill it in 30 minutes. C is a waste pipe. After opening both the pipes A and B, Riya leaves the cistern to fill and returns when the cistern is supposed to be filled. But she found that waste pipe C had been left open, she closes it and now the cistern takes 5 minutes more to fill. In how much time the pipe C can empty the full cistern?a)26.8 minutesb)25.8 minutesc)27.8 minutesd)28.8 minutese)None of theseCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Three pipes A, B and C is attached to a cistern. A can fill it in 20 minutes and B can fill it in 30 minutes. C is a waste pipe. After opening both the pipes A and B, Riya leaves the cistern to fill and returns when the cistern is supposed to be filled. But she found that waste pipe C had been left open, she closes it and now the cistern takes 5 minutes more to fill. In how much time the pipe C can empty the full cistern?a)26.8 minutesb)25.8 minutesc)27.8 minutesd)28.8 minutese)None of theseCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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