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Directions for Question: A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 5 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (set Z) can empty 5/10 of the tank in 10 minutes.
Q. If one pipe is added for set X and set Y and set Z ' s capacity is increased by 20% of its original value and all the taps are opened at 2.58 p.m., then at what time does the tank gets filled? (If if is initially empty).
  • a)
    3.05 p.m
  • b)
    3.04 p.m
  • c)
    3.10 p.m
  • d)
    3.03 p.m
Correct answer is option 'D'. Can you explain this answer?
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Directions for Question:A set of 10 pipes (set X) can fill 70% of a ta...
►The rate per minute with the given changes (in percentage terms) would be :
►Set X = 11%, Set Y = 15% and Set Z = -6%.
►Hence, the net rate = 11 + 15 - 6 = 20%, per minute and it would take 5 minutes for the tank to fill. If all pipes are opened at 2:58, the tank would get filled at 3:03.
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Directions for Question:A set of 10 pipes (set X) can fill 70% of a ta...
Given Information:
- Set X (10 pipes) can fill 70% of tank in 7 mins
- Set Y (5 pipes) can fill 3/8 of tank in 3 mins
- Set Z (8 pipes) can empty 5/10 of tank in 10 mins

To Find:
- The time taken to fill the tank if one pipe is added for set X and set Y and set Z's capacity is increased by 20% of its original value and all the taps are opened at 2.58 pm.

Approach:
- Calculate the filling capacity of each set of pipes in 1 min.
- Calculate the total filling capacity of all sets of pipes in 1 min.
- Calculate the time taken to fill the tank when all the taps are opened.

Solution:
- Set X can fill 70% of tank in 7 mins.
=> 1% of tank can be filled by set X in 10/7 mins.
=> Set X can fill 1/7 of tank in 1 min.
=> Set X can fill (10/7)% of tank in 1 min.
- Set Y can fill 3/8 of tank in 3 mins.
=> 1% of tank can be filled by set Y in 8*3 mins.
=> Set Y can fill 1/24 of tank in 1 min.
=> Set Y can fill (12.5)% of tank in 1 min.
- Set Z can empty 5/10 of tank in 10 mins.
=> 1% of tank can be emptied by set Z in 2*10 mins.
=> Set Z can empty 1/20 of tank in 1 min.
=> Set Z can empty (5)% of tank in 1 min.
- All sets of pipes can fill (10/7 + 12.5)% of tank and empty 5% of tank in 1 min.
=> The net filling capacity of all sets of pipes in 1 min = [(10/7 + 12.5) - 5]% of tank = (17.5/7)% of tank.
=> The net filling capacity of all sets of pipes in 1 min after increasing the capacity by 20% = (17.5/7 + 3.5/7)% of tank = (21/7)% of tank.
- Let's assume the tank's capacity is 140 liters (100% of tank).
=> The amount of water filled by set X in 7 mins = 0.7 * 140 = 98 liters.
=> The amount of water filled by set Y in 3 mins = 3/8 * 140 = 52.5 liters.
=> The amount of water emptied by set Z in 10 mins = 5/10 * 140 = 70 liters.
=> Therefore, the initial amount of water in the tank = 140 - 98 - 52.5 + 70 = 59.5 liters.
=> The amount of water that needs to be filled = 140 - 59.5 = 80.5 liters.
=> The time taken to fill 80.5 liters of water by all sets of pipes = 80.5 / (21/7)% = (80.5 * 7/21) mins
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Directions for Question:A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 5 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (set Z) can empty 5/10 of the tank in 10 minutes.Q.If one pipe is added for set X and set Y and set Z s capacity is increased by 20% of its original value and all the taps are opened at 2.58 p.m., then at what time does the tank gets filled? (If if is initially empty).a)3.05 p.mb)3.04 p.mc)3.10 p.md)3.03 p.mCorrect answer is option 'D'. Can you explain this answer?
Question Description
Directions for Question:A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 5 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (set Z) can empty 5/10 of the tank in 10 minutes.Q.If one pipe is added for set X and set Y and set Z s capacity is increased by 20% of its original value and all the taps are opened at 2.58 p.m., then at what time does the tank gets filled? (If if is initially empty).a)3.05 p.mb)3.04 p.mc)3.10 p.md)3.03 p.mCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Directions for Question:A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 5 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (set Z) can empty 5/10 of the tank in 10 minutes.Q.If one pipe is added for set X and set Y and set Z s capacity is increased by 20% of its original value and all the taps are opened at 2.58 p.m., then at what time does the tank gets filled? (If if is initially empty).a)3.05 p.mb)3.04 p.mc)3.10 p.md)3.03 p.mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions for Question:A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 5 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (set Z) can empty 5/10 of the tank in 10 minutes.Q.If one pipe is added for set X and set Y and set Z s capacity is increased by 20% of its original value and all the taps are opened at 2.58 p.m., then at what time does the tank gets filled? (If if is initially empty).a)3.05 p.mb)3.04 p.mc)3.10 p.md)3.03 p.mCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Directions for Question:A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 5 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (set Z) can empty 5/10 of the tank in 10 minutes.Q.If one pipe is added for set X and set Y and set Z s capacity is increased by 20% of its original value and all the taps are opened at 2.58 p.m., then at what time does the tank gets filled? (If if is initially empty).a)3.05 p.mb)3.04 p.mc)3.10 p.md)3.03 p.mCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Directions for Question:A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 5 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (set Z) can empty 5/10 of the tank in 10 minutes.Q.If one pipe is added for set X and set Y and set Z s capacity is increased by 20% of its original value and all the taps are opened at 2.58 p.m., then at what time does the tank gets filled? (If if is initially empty).a)3.05 p.mb)3.04 p.mc)3.10 p.md)3.03 p.mCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Directions for Question:A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 5 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (set Z) can empty 5/10 of the tank in 10 minutes.Q.If one pipe is added for set X and set Y and set Z s capacity is increased by 20% of its original value and all the taps are opened at 2.58 p.m., then at what time does the tank gets filled? (If if is initially empty).a)3.05 p.mb)3.04 p.mc)3.10 p.md)3.03 p.mCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Directions for Question:A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 5 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (set Z) can empty 5/10 of the tank in 10 minutes.Q.If one pipe is added for set X and set Y and set Z s capacity is increased by 20% of its original value and all the taps are opened at 2.58 p.m., then at what time does the tank gets filled? (If if is initially empty).a)3.05 p.mb)3.04 p.mc)3.10 p.md)3.03 p.mCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Directions for Question:A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 5 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (set Z) can empty 5/10 of the tank in 10 minutes.Q.If one pipe is added for set X and set Y and set Z s capacity is increased by 20% of its original value and all the taps are opened at 2.58 p.m., then at what time does the tank gets filled? (If if is initially empty).a)3.05 p.mb)3.04 p.mc)3.10 p.md)3.03 p.mCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Directions for Question:A set of 10 pipes (set X) can fill 70% of a tank in 7 minutes. Another set of 5 pipes (set Y) fills 3/8 of the tank in 3 minutes. A third set of 8 pipes (set Z) can empty 5/10 of the tank in 10 minutes.Q.If one pipe is added for set X and set Y and set Z s capacity is increased by 20% of its original value and all the taps are opened at 2.58 p.m., then at what time does the tank gets filled? (If if is initially empty).a)3.05 p.mb)3.04 p.mc)3.10 p.md)3.03 p.mCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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