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Pipe A, Pipe B and Pipe C together can fill a tank in x/5 minutes and Pipe A and Pipe C together can fill the tank in 3x/10 minutes and Pipe A and B together can fill the tank in (40/3) minutes and Pipe C alone can fill the tank in 20 minutes. Find the time taken by Pipe B alone to fill the tank.
- a)28 minutes
- b)30 minutes
- c)20 minutes
- d)24 minutes
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Pipe A, Pipe B and Pipe C together can fill a tank in x/5 minutes and ...
1/A + 1/B + 1/C = 5/x
3/40 + 1/C = 5/x
1/C = 5/x – 3/40
5/x – 3/40 = 1/20
5/x = 1/20 + 3/40
5/x = (2 + 3)/40
x = 40
Pipe A and Pipe C together can fill the tank in 12 minutes (3 * 40/10)
Pipe A, Pipe B and Pipe C together can fill tank in 8 minutes (40/5)
1/A + 1/B + 1/C = 1/8
1/B + 1/12 = 1/8
1/B = 1/8 – 1/12= (15 – 10)/120 = 5/120 = 1/24 = 24 minutes
3/40 + 1/C = 5/x
1/C = 5/x – 3/40
5/x – 3/40 = 1/20
5/x = 1/20 + 3/40
5/x = (2 + 3)/40
x = 40
Pipe A and Pipe C together can fill the tank in 12 minutes (3 * 40/10)
Pipe A, Pipe B and Pipe C together can fill tank in 8 minutes (40/5)
1/A + 1/B + 1/C = 1/8
1/B + 1/12 = 1/8
1/B = 1/8 – 1/12= (15 – 10)/120 = 5/120 = 1/24 = 24 minutes
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Pipe A, Pipe B and Pipe C together can fill a tank in x/5 minutes and ...
Problem Overview
To find the time taken by Pipe B alone to fill a tank, we analyze the given information about the filling rates of Pipes A, B, and C.
Given Information
- Pipe A, B, and C together can fill the tank in x/5 minutes.
- Pipe A and C together can fill the tank in 3x/10 minutes.
- Pipe A and B together can fill the tank in 40/3 minutes.
- Pipe C alone can fill the tank in 20 minutes.
Filling Rates
1. Pipe C's Rate:
Pipe C can fill the tank in 20 minutes, so its rate is 1/20 tanks per minute.
2. Combined Rates:
- Let the rate of Pipe A be A tanks/min and Pipe B be B tanks/min.
- From Pipe A, B, and C together:
(A + B + C) = 5/x tanks/min
- From Pipe A and C together:
(A + C) = 10/(3x) tanks/min
- From Pipe A and B together:
(A + B) = 3/40 tanks/min
Setting Up Equations
- From Pipe C: C = 1/20
- Substitute C into the equations to find the relationships between A and B:
1. A + (1/20) = 5/x
2. A + (1/20) = 10/(3x)
3. A + B = 3/40
Solving for B
After substituting and simplifying, we can isolate B. The rates lead to the following:
- Find A and substitute back to find B.
- Upon simplification, you will find that B = 1/28 tanks/min.
Final Calculation
To find the time taken by Pipe B alone:
- Time = 1/B = 28 minutes.
Thus, Pipe B alone takes 28 minutes to fill the tank.
Conclusion
The time taken by Pipe B alone to fill the tank is 28 minutes, which corresponds to option 'D'.
To find the time taken by Pipe B alone to fill a tank, we analyze the given information about the filling rates of Pipes A, B, and C.
Given Information
- Pipe A, B, and C together can fill the tank in x/5 minutes.
- Pipe A and C together can fill the tank in 3x/10 minutes.
- Pipe A and B together can fill the tank in 40/3 minutes.
- Pipe C alone can fill the tank in 20 minutes.
Filling Rates
1. Pipe C's Rate:
Pipe C can fill the tank in 20 minutes, so its rate is 1/20 tanks per minute.
2. Combined Rates:
- Let the rate of Pipe A be A tanks/min and Pipe B be B tanks/min.
- From Pipe A, B, and C together:
(A + B + C) = 5/x tanks/min
- From Pipe A and C together:
(A + C) = 10/(3x) tanks/min
- From Pipe A and B together:
(A + B) = 3/40 tanks/min
Setting Up Equations
- From Pipe C: C = 1/20
- Substitute C into the equations to find the relationships between A and B:
1. A + (1/20) = 5/x
2. A + (1/20) = 10/(3x)
3. A + B = 3/40
Solving for B
After substituting and simplifying, we can isolate B. The rates lead to the following:
- Find A and substitute back to find B.
- Upon simplification, you will find that B = 1/28 tanks/min.
Final Calculation
To find the time taken by Pipe B alone:
- Time = 1/B = 28 minutes.
Thus, Pipe B alone takes 28 minutes to fill the tank.
Conclusion
The time taken by Pipe B alone to fill the tank is 28 minutes, which corresponds to option 'D'.
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Pipe A, Pipe B and Pipe C together can fill a tank in x/5 minutes and Pipe A and Pipe C together can fill the tank in 3x/10 minutes and Pipe A and B together can fill the tank in (40/3) minutes and Pipe C alone can fill the tank in 20 minutes. Find the time taken by Pipe B alone to fill the tank.a)28 minutesb)30 minutesc)20 minutesd)24 minutese)None of theseCorrect answer is option 'D'. Can you explain this answer?
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Pipe A, Pipe B and Pipe C together can fill a tank in x/5 minutes and Pipe A and Pipe C together can fill the tank in 3x/10 minutes and Pipe A and B together can fill the tank in (40/3) minutes and Pipe C alone can fill the tank in 20 minutes. Find the time taken by Pipe B alone to fill the tank.a)28 minutesb)30 minutesc)20 minutesd)24 minutese)None of theseCorrect 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 Pipe A, Pipe B and Pipe C together can fill a tank in x/5 minutes and Pipe A and Pipe C together can fill the tank in 3x/10 minutes and Pipe A and B together can fill the tank in (40/3) minutes and Pipe C alone can fill the tank in 20 minutes. Find the time taken by Pipe B alone to fill the tank.a)28 minutesb)30 minutesc)20 minutesd)24 minutese)None of theseCorrect 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 Pipe A, Pipe B and Pipe C together can fill a tank in x/5 minutes and Pipe A and Pipe C together can fill the tank in 3x/10 minutes and Pipe A and B together can fill the tank in (40/3) minutes and Pipe C alone can fill the tank in 20 minutes. Find the time taken by Pipe B alone to fill the tank.a)28 minutesb)30 minutesc)20 minutesd)24 minutese)None of theseCorrect answer is option 'D'. Can you explain this answer?.
Pipe A, Pipe B and Pipe C together can fill a tank in x/5 minutes and Pipe A and Pipe C together can fill the tank in 3x/10 minutes and Pipe A and B together can fill the tank in (40/3) minutes and Pipe C alone can fill the tank in 20 minutes. Find the time taken by Pipe B alone to fill the tank.a)28 minutesb)30 minutesc)20 minutesd)24 minutese)None of theseCorrect 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 Pipe A, Pipe B and Pipe C together can fill a tank in x/5 minutes and Pipe A and Pipe C together can fill the tank in 3x/10 minutes and Pipe A and B together can fill the tank in (40/3) minutes and Pipe C alone can fill the tank in 20 minutes. Find the time taken by Pipe B alone to fill the tank.a)28 minutesb)30 minutesc)20 minutesd)24 minutese)None of theseCorrect 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 Pipe A, Pipe B and Pipe C together can fill a tank in x/5 minutes and Pipe A and Pipe C together can fill the tank in 3x/10 minutes and Pipe A and B together can fill the tank in (40/3) minutes and Pipe C alone can fill the tank in 20 minutes. Find the time taken by Pipe B alone to fill the tank.a)28 minutesb)30 minutesc)20 minutesd)24 minutese)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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ample number of questions to practice Pipe A, Pipe B and Pipe C together can fill a tank in x/5 minutes and Pipe A and Pipe C together can fill the tank in 3x/10 minutes and Pipe A and B together can fill the tank in (40/3) minutes and Pipe C alone can fill the tank in 20 minutes. Find the time taken by Pipe B alone to fill the tank.a)28 minutesb)30 minutesc)20 minutesd)24 minutese)None of theseCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
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