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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 4 pipes are closed in set Z, and all others remain open, how long will it take to fill the tank?
- a)5 minutes
- b)6 minutes
- c)7 minutes
- d)7.5 minutes
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Directions for Question:A set of 10 pipes (set X) can fill 70% of a ta...
►If 4 of the taps of set Z are closed, the net work done by Set Z would be -2.5% while the work done by Sets X and Y would remain 10% and 12.5% respectively.
►Thus, the total work per minute would be 20% and hence the tank would take 5 minutes to fill up.
Most Upvoted Answer
Directions for Question:A set of 10 pipes (set X) can fill 70% of a ta...
To solve this question, we need to calculate the rate at which each set of pipes can fill or empty the tank.
1. Set X:
- 10 pipes fill 70% of the tank in 7 minutes.
- Therefore, the rate of filling the tank by set X is (70% / 7 minutes) = 10% per minute.
2. Set Y:
- 5 pipes fill 3/8 of the tank in 3 minutes.
- Therefore, the rate of filling the tank by set Y is (3/8 / 3 minutes) = 1/8 per minute.
3. Set Z:
- 8 pipes empty 5/10 of the tank in 10 minutes.
- Therefore, the rate of emptying the tank by set Z is (5/10 / 10 minutes) = 1/20 per minute.
Now, let's calculate the net rate of filling the tank when 4 pipes are closed in set Z.
- When 8 pipes are open, the rate of emptying the tank is 1/20 per minute.
- So, when 4 pipes are closed, the remaining 4 pipes will empty the tank at a rate of (1/20 / 2) = 1/40 per minute.
To find the net rate of filling the tank, we subtract the rate of emptying from the rate of filling.
Net rate = (Rate of filling - Rate of emptying)
= (10% per minute - 1/40 per minute)
= (10/100 - 1/40) per minute
= (1/10 - 1/40) per minute
= (4/40 - 1/40) per minute
= 3/40 per minute
Finally, to find the time taken to fill the tank, we divide 100% by the net rate of filling.
Time taken = (100% / 3/40 per minute)
= (100% * 40/3 minutes)
= 4000/3 minutes
≈ 133.33 minutes
≈ 133 minutes (rounded to the nearest minute)
Therefore, it would take approximately 133 minutes to fill the tank when 4 pipes are closed in set Z.
1. Set X:
- 10 pipes fill 70% of the tank in 7 minutes.
- Therefore, the rate of filling the tank by set X is (70% / 7 minutes) = 10% per minute.
2. Set Y:
- 5 pipes fill 3/8 of the tank in 3 minutes.
- Therefore, the rate of filling the tank by set Y is (3/8 / 3 minutes) = 1/8 per minute.
3. Set Z:
- 8 pipes empty 5/10 of the tank in 10 minutes.
- Therefore, the rate of emptying the tank by set Z is (5/10 / 10 minutes) = 1/20 per minute.
Now, let's calculate the net rate of filling the tank when 4 pipes are closed in set Z.
- When 8 pipes are open, the rate of emptying the tank is 1/20 per minute.
- So, when 4 pipes are closed, the remaining 4 pipes will empty the tank at a rate of (1/20 / 2) = 1/40 per minute.
To find the net rate of filling the tank, we subtract the rate of emptying from the rate of filling.
Net rate = (Rate of filling - Rate of emptying)
= (10% per minute - 1/40 per minute)
= (10/100 - 1/40) per minute
= (1/10 - 1/40) per minute
= (4/40 - 1/40) per minute
= 3/40 per minute
Finally, to find the time taken to fill the tank, we divide 100% by the net rate of filling.
Time taken = (100% / 3/40 per minute)
= (100% * 40/3 minutes)
= 4000/3 minutes
≈ 133.33 minutes
≈ 133 minutes (rounded to the nearest minute)
Therefore, it would take approximately 133 minutes to fill the tank when 4 pipes are closed in set Z.
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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 4 pipes are closed in set Z, and all others remain open, how long will it take to fill the tank?a)5 minutesb)6 minutesc)7 minutesd)7.5 minutesCorrect answer is option 'A'. 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 4 pipes are closed in set Z, and all others remain open, how long will it take to fill the tank?a)5 minutesb)6 minutesc)7 minutesd)7.5 minutesCorrect answer is option 'A'. 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 4 pipes are closed in set Z, and all others remain open, how long will it take to fill the tank?a)5 minutesb)6 minutesc)7 minutesd)7.5 minutesCorrect answer is option 'A'. 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 4 pipes are closed in set Z, and all others remain open, how long will it take to fill the tank?a)5 minutesb)6 minutesc)7 minutesd)7.5 minutesCorrect answer is option 'A'. Can you explain this answer?.
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 4 pipes are closed in set Z, and all others remain open, how long will it take to fill the tank?a)5 minutesb)6 minutesc)7 minutesd)7.5 minutesCorrect answer is option 'A'. 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 4 pipes are closed in set Z, and all others remain open, how long will it take to fill the tank?a)5 minutesb)6 minutesc)7 minutesd)7.5 minutesCorrect answer is option 'A'. 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 4 pipes are closed in set Z, and all others remain open, how long will it take to fill the tank?a)5 minutesb)6 minutesc)7 minutesd)7.5 minutesCorrect answer is option 'A'. 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 4 pipes are closed in set Z, and all others remain open, how long will it take to fill the tank?a)5 minutesb)6 minutesc)7 minutesd)7.5 minutesCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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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 4 pipes are closed in set Z, and all others remain open, how long will it take to fill the tank?a)5 minutesb)6 minutesc)7 minutesd)7.5 minutesCorrect answer is option 'A'. 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 4 pipes are closed in set Z, and all others remain open, how long will it take to fill the tank?a)5 minutesb)6 minutesc)7 minutesd)7.5 minutesCorrect answer is option 'A'. 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 4 pipes are closed in set Z, and all others remain open, how long will it take to fill the tank?a)5 minutesb)6 minutesc)7 minutesd)7.5 minutesCorrect answer is option 'A'. 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 4 pipes are closed in set Z, and all others remain open, how long will it take to fill the tank?a)5 minutesb)6 minutesc)7 minutesd)7.5 minutesCorrect answer is option 'A'. 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 4 pipes are closed in set Z, and all others remain open, how long will it take to fill the tank?a)5 minutesb)6 minutesc)7 minutesd)7.5 minutesCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
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