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A cistern has two taps attached to it. Tap B can empty the cistern in 45 minutes. But Tap A can fill the cistern in just 30 minutes. Rohit started both taps unknowingly but realized his mistake after 30 minutes. He immediately closed Tap B. Now after this, in how much time will the cistern be filled?
- a)30 minutes
- b)45 minutes
- c)15 minutes
- d)20 minutes
- e)10 minutes
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A cistern has two taps attached to it. Tap B can empty the cistern in...
Given
Tap B can empty the cistern in 45 minutes.
Tap A can fill the cistern in just 30 minutes.
In 1 minute, cistern filled by Tap A
=1/30
In 1 minute, cistern emptied by Tap B
=1/45
In 1 minute with Taps A and B, cistern filled
=1/30?1/45=1/90
In 30 minutes,
30×1/90=1/3 amount of cistern is filled
Remaining cistern =1?1/3=2/3
This is filled by Tap A only
In 1 minute, amount of cistern is filled
=1/30
In ? minutes, amount of cistern is filled
=2/3
? ? In minutes, the amount of the tank emptied
= 2/3*30/1 = 20 minutes
Thus, time to fill after Tap B is closed is 20 minutes.
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Community Answer
A cistern has two taps attached to it. Tap B can empty the cistern in...
Problem Analysis:
- Tap A can fill the cistern in 30 minutes, which means it can fill 1/30 of the cistern in 1 minute.
- Tap B can empty the cistern in 45 minutes, which means it can empty 1/45 of the cistern in 1 minute.
Solution:
When Rohit started both taps, Tap A was filling the cistern and Tap B was emptying it. After 30 minutes, Rohit realized his mistake and closed Tap B. Now, only Tap A is filling the cistern.
Let's calculate the amount of water filled by both taps in the first 30 minutes:
- Tap A fills 1/30 of the cistern in 1 minute, so in 30 minutes, it fills 30 * 1/30 = 1 cistern.
- Tap B empties 1/45 of the cistern in 1 minute, so in 30 minutes, it empties 30 * 1/45 = 2/3 cistern.
Since Tap A filled 1 cistern and Tap B emptied 2/3 cistern in the first 30 minutes, we can conclude that the net amount of water filled in the first 30 minutes is 1 - 2/3 = 1/3 cistern.
Now, after closing Tap B, only Tap A is filling the cistern. Since Tap A can fill 1/30 of the cistern in 1 minute, it will take 1 / (1/30) = 30 minutes to fill the remaining 2/3 cistern.
Therefore, the total time taken to fill the cistern after closing Tap B is 30 + 30 = 60 minutes, which is equivalent to 1 hour.
Answer:
- The cistern will be filled in 60 minutes, which is equivalent to 1 hour.
- Tap A can fill the cistern in 30 minutes, which means it can fill 1/30 of the cistern in 1 minute.
- Tap B can empty the cistern in 45 minutes, which means it can empty 1/45 of the cistern in 1 minute.
Solution:
When Rohit started both taps, Tap A was filling the cistern and Tap B was emptying it. After 30 minutes, Rohit realized his mistake and closed Tap B. Now, only Tap A is filling the cistern.
Let's calculate the amount of water filled by both taps in the first 30 minutes:
- Tap A fills 1/30 of the cistern in 1 minute, so in 30 minutes, it fills 30 * 1/30 = 1 cistern.
- Tap B empties 1/45 of the cistern in 1 minute, so in 30 minutes, it empties 30 * 1/45 = 2/3 cistern.
Since Tap A filled 1 cistern and Tap B emptied 2/3 cistern in the first 30 minutes, we can conclude that the net amount of water filled in the first 30 minutes is 1 - 2/3 = 1/3 cistern.
Now, after closing Tap B, only Tap A is filling the cistern. Since Tap A can fill 1/30 of the cistern in 1 minute, it will take 1 / (1/30) = 30 minutes to fill the remaining 2/3 cistern.
Therefore, the total time taken to fill the cistern after closing Tap B is 30 + 30 = 60 minutes, which is equivalent to 1 hour.
Answer:
- The cistern will be filled in 60 minutes, which is equivalent to 1 hour.
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A cistern has two taps attached to it. Tap B can empty the cistern in 45 minutes. But Tap A can fill the cistern in just 30 minutes. Rohit started both taps unknowingly but realized his mistake after 30 minutes. He immediately closed Tap B. Now after this, in how much time will the cistern be filled?a)30 minutesb)45 minutesc)15 minutesd)20 minutese)10 minutesCorrect answer is option 'D'. Can you explain this answer?
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A cistern has two taps attached to it. Tap B can empty the cistern in 45 minutes. But Tap A can fill the cistern in just 30 minutes. Rohit started both taps unknowingly but realized his mistake after 30 minutes. He immediately closed Tap B. Now after this, in how much time will the cistern be filled?a)30 minutesb)45 minutesc)15 minutesd)20 minutese)10 minutesCorrect answer is option 'D'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about A cistern has two taps attached to it. Tap B can empty the cistern in 45 minutes. But Tap A can fill the cistern in just 30 minutes. Rohit started both taps unknowingly but realized his mistake after 30 minutes. He immediately closed Tap B. Now after this, in how much time will the cistern be filled?a)30 minutesb)45 minutesc)15 minutesd)20 minutese)10 minutesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cistern has two taps attached to it. Tap B can empty the cistern in 45 minutes. But Tap A can fill the cistern in just 30 minutes. Rohit started both taps unknowingly but realized his mistake after 30 minutes. He immediately closed Tap B. Now after this, in how much time will the cistern be filled?a)30 minutesb)45 minutesc)15 minutesd)20 minutese)10 minutesCorrect answer is option 'D'. Can you explain this answer?.
A cistern has two taps attached to it. Tap B can empty the cistern in 45 minutes. But Tap A can fill the cistern in just 30 minutes. Rohit started both taps unknowingly but realized his mistake after 30 minutes. He immediately closed Tap B. Now after this, in how much time will the cistern be filled?a)30 minutesb)45 minutesc)15 minutesd)20 minutese)10 minutesCorrect answer is option 'D'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about A cistern has two taps attached to it. Tap B can empty the cistern in 45 minutes. But Tap A can fill the cistern in just 30 minutes. Rohit started both taps unknowingly but realized his mistake after 30 minutes. He immediately closed Tap B. Now after this, in how much time will the cistern be filled?a)30 minutesb)45 minutesc)15 minutesd)20 minutese)10 minutesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cistern has two taps attached to it. Tap B can empty the cistern in 45 minutes. But Tap A can fill the cistern in just 30 minutes. Rohit started both taps unknowingly but realized his mistake after 30 minutes. He immediately closed Tap B. Now after this, in how much time will the cistern be filled?a)30 minutesb)45 minutesc)15 minutesd)20 minutese)10 minutesCorrect answer is option 'D'. Can you explain this answer?.
Solutions for A cistern has two taps attached to it. Tap B can empty the cistern in 45 minutes. But Tap A can fill the cistern in just 30 minutes. Rohit started both taps unknowingly but realized his mistake after 30 minutes. He immediately closed Tap B. Now after this, in how much time will the cistern be filled?a)30 minutesb)45 minutesc)15 minutesd)20 minutese)10 minutesCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams.
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A cistern has two taps attached to it. Tap B can empty the cistern in 45 minutes. But Tap A can fill the cistern in just 30 minutes. Rohit started both taps unknowingly but realized his mistake after 30 minutes. He immediately closed Tap B. Now after this, in how much time will the cistern be filled?a)30 minutesb)45 minutesc)15 minutesd)20 minutese)10 minutesCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A cistern has two taps attached to it. Tap B can empty the cistern in 45 minutes. But Tap A can fill the cistern in just 30 minutes. Rohit started both taps unknowingly but realized his mistake after 30 minutes. He immediately closed Tap B. Now after this, in how much time will the cistern be filled?a)30 minutesb)45 minutesc)15 minutesd)20 minutese)10 minutesCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A cistern has two taps attached to it. Tap B can empty the cistern in 45 minutes. But Tap A can fill the cistern in just 30 minutes. Rohit started both taps unknowingly but realized his mistake after 30 minutes. He immediately closed Tap B. Now after this, in how much time will the cistern be filled?a)30 minutesb)45 minutesc)15 minutesd)20 minutese)10 minutesCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A cistern has two taps attached to it. Tap B can empty the cistern in 45 minutes. But Tap A can fill the cistern in just 30 minutes. Rohit started both taps unknowingly but realized his mistake after 30 minutes. He immediately closed Tap B. Now after this, in how much time will the cistern be filled?a)30 minutesb)45 minutesc)15 minutesd)20 minutese)10 minutesCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
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