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A cistern has three pipes X, Y and Z. Pipes X and Y can fill it in 3 and 4 h, respectively, while pipe Z can empty the completely filled cistern in 1 h. If the pipes are opened in order at 1:00 pm, 2:00 pm and 3:00 pm, respectively, at what time will the cistern be empty?
- a)6 : 15 pm
- b)5 : 12 pm
- c)8 : 12 pm
- d)6 : 35 pm
- e)7 : 12 pm
Correct answer is option 'B'. Can you explain this answer?
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A cistern has three pipes X, Y and Z. Pipes X and Y can fill it in 3 a...
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A cistern has three pipes X, Y and Z. Pipes X and Y can fill it in 3 a...
Given Information:
- Pipe X can fill the cistern in 3 hours.
- Pipe Y can fill the cistern in 4 hours.
- Pipe Z can empty the cistern in 1 hour.
- Pipes are opened in order at 1:00 pm, 2:00 pm, and 3:00 pm.
Approach:
To find the time at which the cistern will be empty, we need to calculate the net inflow/outflow rate of water from the cistern.
Calculation:
Let's calculate the rate of each pipe:
- Pipe X can fill the cistern in 3 hours, so the inflow rate of pipe X = 1/3 of the cistern per hour.
- Pipe Y can fill the cistern in 4 hours, so the inflow rate of pipe Y = 1/4 of the cistern per hour.
- Pipe Z can empty the cistern in 1 hour, so the outflow rate of pipe Z = 1 of the cistern per hour.
Now, let's consider the time intervals when the pipes are open:
1:00 pm to 2:00 pm (1 hour) - Inflow rate = Inflow rate of pipe X - Outflow rate of pipe Z
= 1/3 - 1 = -2/3 of the cistern per hour (as pipe Z is emptying the cistern)
2:00 pm to 3:00 pm (1 hour) - Inflow rate = Inflow rate of pipe X + Inflow rate of pipe Y - Outflow rate of pipe Z
= 1/3 + 1/4 - 1 = 7/12 of the cistern per hour (as pipe Z is emptying the cistern)
3:00 pm onwards - Inflow rate = Inflow rate of pipe X + Inflow rate of pipe Y
= 1/3 + 1/4 = 7/12 of the cistern per hour
Analysis:
From the calculations above, we can see that during the first 2 hours, the cistern is being emptied at a rate of 2/3 of its capacity per hour. After that, the cistern is being filled at a rate of 7/12 of its capacity per hour.
Since the cistern is being emptied first, it will take more time to fill it completely. Therefore, the cistern will be empty between 3:00 pm and 4:00 pm.
Answer:
The cistern will be empty at 4:00 pm, which corresponds to option 'B' - 5:12 pm.
- Pipe X can fill the cistern in 3 hours.
- Pipe Y can fill the cistern in 4 hours.
- Pipe Z can empty the cistern in 1 hour.
- Pipes are opened in order at 1:00 pm, 2:00 pm, and 3:00 pm.
Approach:
To find the time at which the cistern will be empty, we need to calculate the net inflow/outflow rate of water from the cistern.
Calculation:
Let's calculate the rate of each pipe:
- Pipe X can fill the cistern in 3 hours, so the inflow rate of pipe X = 1/3 of the cistern per hour.
- Pipe Y can fill the cistern in 4 hours, so the inflow rate of pipe Y = 1/4 of the cistern per hour.
- Pipe Z can empty the cistern in 1 hour, so the outflow rate of pipe Z = 1 of the cistern per hour.
Now, let's consider the time intervals when the pipes are open:
1:00 pm to 2:00 pm (1 hour) - Inflow rate = Inflow rate of pipe X - Outflow rate of pipe Z
= 1/3 - 1 = -2/3 of the cistern per hour (as pipe Z is emptying the cistern)
2:00 pm to 3:00 pm (1 hour) - Inflow rate = Inflow rate of pipe X + Inflow rate of pipe Y - Outflow rate of pipe Z
= 1/3 + 1/4 - 1 = 7/12 of the cistern per hour (as pipe Z is emptying the cistern)
3:00 pm onwards - Inflow rate = Inflow rate of pipe X + Inflow rate of pipe Y
= 1/3 + 1/4 = 7/12 of the cistern per hour
Analysis:
From the calculations above, we can see that during the first 2 hours, the cistern is being emptied at a rate of 2/3 of its capacity per hour. After that, the cistern is being filled at a rate of 7/12 of its capacity per hour.
Since the cistern is being emptied first, it will take more time to fill it completely. Therefore, the cistern will be empty between 3:00 pm and 4:00 pm.
Answer:
The cistern will be empty at 4:00 pm, which corresponds to option 'B' - 5:12 pm.
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A cistern has three pipes X, Y and Z. Pipes X and Y can fill it in 3 and 4 h, respectively, while pipe Z can empty the completely filled cistern in 1 h. If the pipes are opened in order at 1:00 pm, 2:00 pm and 3:00 pm, respectively, at what time will the cistern be empty? a)6 : 15 pmb)5 : 12 pmc)8 : 12 pmd)6 : 35 pme)7 : 12 pmCorrect answer is option 'B'. Can you explain this answer?
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A cistern has three pipes X, Y and Z. Pipes X and Y can fill it in 3 and 4 h, respectively, while pipe Z can empty the completely filled cistern in 1 h. If the pipes are opened in order at 1:00 pm, 2:00 pm and 3:00 pm, respectively, at what time will the cistern be empty? a)6 : 15 pmb)5 : 12 pmc)8 : 12 pmd)6 : 35 pme)7 : 12 pmCorrect answer is option 'B'. 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 three pipes X, Y and Z. Pipes X and Y can fill it in 3 and 4 h, respectively, while pipe Z can empty the completely filled cistern in 1 h. If the pipes are opened in order at 1:00 pm, 2:00 pm and 3:00 pm, respectively, at what time will the cistern be empty? a)6 : 15 pmb)5 : 12 pmc)8 : 12 pmd)6 : 35 pme)7 : 12 pmCorrect answer is option 'B'. 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 three pipes X, Y and Z. Pipes X and Y can fill it in 3 and 4 h, respectively, while pipe Z can empty the completely filled cistern in 1 h. If the pipes are opened in order at 1:00 pm, 2:00 pm and 3:00 pm, respectively, at what time will the cistern be empty? a)6 : 15 pmb)5 : 12 pmc)8 : 12 pmd)6 : 35 pme)7 : 12 pmCorrect answer is option 'B'. Can you explain this answer?.
A cistern has three pipes X, Y and Z. Pipes X and Y can fill it in 3 and 4 h, respectively, while pipe Z can empty the completely filled cistern in 1 h. If the pipes are opened in order at 1:00 pm, 2:00 pm and 3:00 pm, respectively, at what time will the cistern be empty? a)6 : 15 pmb)5 : 12 pmc)8 : 12 pmd)6 : 35 pme)7 : 12 pmCorrect answer is option 'B'. 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 three pipes X, Y and Z. Pipes X and Y can fill it in 3 and 4 h, respectively, while pipe Z can empty the completely filled cistern in 1 h. If the pipes are opened in order at 1:00 pm, 2:00 pm and 3:00 pm, respectively, at what time will the cistern be empty? a)6 : 15 pmb)5 : 12 pmc)8 : 12 pmd)6 : 35 pme)7 : 12 pmCorrect answer is option 'B'. 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 three pipes X, Y and Z. Pipes X and Y can fill it in 3 and 4 h, respectively, while pipe Z can empty the completely filled cistern in 1 h. If the pipes are opened in order at 1:00 pm, 2:00 pm and 3:00 pm, respectively, at what time will the cistern be empty? a)6 : 15 pmb)5 : 12 pmc)8 : 12 pmd)6 : 35 pme)7 : 12 pmCorrect answer is option 'B'. Can you explain this answer?.
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ample number of questions to practice A cistern has three pipes X, Y and Z. Pipes X and Y can fill it in 3 and 4 h, respectively, while pipe Z can empty the completely filled cistern in 1 h. If the pipes are opened in order at 1:00 pm, 2:00 pm and 3:00 pm, respectively, at what time will the cistern be empty? a)6 : 15 pmb)5 : 12 pmc)8 : 12 pmd)6 : 35 pme)7 : 12 pmCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
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