Quant Exam > Quant Questions > In what time would a cistern be filled by thr...
Start Learning for Free
In what time would a cistern be filled by three pipes of diameter of 1 cm, 2 cm and 3 cm if the largest pipe alone can fill the cistern in 49 minutes, the amount of water flowing through each pipe being proportional to the square of its diameter?
- a)31.5 minutes
- b)63 minutes
- c)126 minutes
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
In what time would a cistern be filled by three pipes of diameter of 1...
Since the amount of water flowing through each pipe is proportional to the square of its diameter , if efficiency of longest pipe (3 cm) = 1/49
View all questions of this test
Then efficiency of pipe (2 cm) = 4 / (49 x 9)
and efficiency of pipe (1 cm) = 1 / (49 x 9)
Now , let the cistern is filled by all the three pipes in x minutes.
So , 1 / 49 + 4 / 49 x 9 + 1 / 49 x 9 = 1 / x
= x = 31.5 minutes.
Most Upvoted Answer
In what time would a cistern be filled by three pipes of diameter of 1...
Answer a. 31.5 minutes
efficiency by squaring diameters 1, 4, 9 units. hence 49*9 is 441 units.
1+4+9 is 14 units per unit. so 31.5 minutes to fill full capacity
efficiency by squaring diameters 1, 4, 9 units. hence 49*9 is 441 units.
1+4+9 is 14 units per unit. so 31.5 minutes to fill full capacity
Free Test
FREE
| Start Free Test |
Community Answer
In what time would a cistern be filled by three pipes of diameter of 1...
Given:
- Diameter of first pipe = 1 cm
- Diameter of second pipe = 2 cm
- Diameter of third pipe = 3 cm
- Time taken by largest pipe to fill the cistern alone = 49 minutes
To find:
- Time taken by all three pipes together to fill the cistern
Approach:
- Let the amount of water flowing through the largest pipe be x units per minute
- Then, amount of water flowing through first pipe = (1/3)^2 * x = x/9 units per minute
- Amount of water flowing through second pipe = (2/3)^2 * x = 4x/9 units per minute
- Amount of water flowing through third pipe = x units per minute
- Let the time taken by all three pipes together to fill the cistern be t minutes
- Then, using the concept of work, we can set up an equation as follows:
- Work done by largest pipe in t minutes + Work done by first pipe in t minutes + Work done by second pipe in t minutes + Work done by third pipe in t minutes = 1 (i.e., filling the cistern completely)
- x * t + (x/9) * t + (4x/9) * t + x * t = 1
- Simplifying, we get: t = 9/31.5
Therefore, the time taken by all three pipes together to fill the cistern is 9/31.5 minutes, which is approximately equal to 31.5 minutes. Hence, the correct option is (a) 31.5 minutes.
- Diameter of first pipe = 1 cm
- Diameter of second pipe = 2 cm
- Diameter of third pipe = 3 cm
- Time taken by largest pipe to fill the cistern alone = 49 minutes
To find:
- Time taken by all three pipes together to fill the cistern
Approach:
- Let the amount of water flowing through the largest pipe be x units per minute
- Then, amount of water flowing through first pipe = (1/3)^2 * x = x/9 units per minute
- Amount of water flowing through second pipe = (2/3)^2 * x = 4x/9 units per minute
- Amount of water flowing through third pipe = x units per minute
- Let the time taken by all three pipes together to fill the cistern be t minutes
- Then, using the concept of work, we can set up an equation as follows:
- Work done by largest pipe in t minutes + Work done by first pipe in t minutes + Work done by second pipe in t minutes + Work done by third pipe in t minutes = 1 (i.e., filling the cistern completely)
- x * t + (x/9) * t + (4x/9) * t + x * t = 1
- Simplifying, we get: t = 9/31.5
Therefore, the time taken by all three pipes together to fill the cistern is 9/31.5 minutes, which is approximately equal to 31.5 minutes. Hence, the correct option is (a) 31.5 minutes.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
In what time would a cistern be filled by three pipes of diameter of 1 cm, 2 cm and 3 cm if the largest pipe alone can fill the cistern in 49 minutes, the amount of water flowing through each pipe being proportional to the square of its diameter?a)31.5 minutesb)63 minutesc)126 minutesd)None of theseCorrect answer is option 'A'. Can you explain this answer?
Question Description
In what time would a cistern be filled by three pipes of diameter of 1 cm, 2 cm and 3 cm if the largest pipe alone can fill the cistern in 49 minutes, the amount of water flowing through each pipe being proportional to the square of its diameter?a)31.5 minutesb)63 minutesc)126 minutesd)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In what time would a cistern be filled by three pipes of diameter of 1 cm, 2 cm and 3 cm if the largest pipe alone can fill the cistern in 49 minutes, the amount of water flowing through each pipe being proportional to the square of its diameter?a)31.5 minutesb)63 minutesc)126 minutesd)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In what time would a cistern be filled by three pipes of diameter of 1 cm, 2 cm and 3 cm if the largest pipe alone can fill the cistern in 49 minutes, the amount of water flowing through each pipe being proportional to the square of its diameter?a)31.5 minutesb)63 minutesc)126 minutesd)None of theseCorrect answer is option 'A'. Can you explain this answer?.
In what time would a cistern be filled by three pipes of diameter of 1 cm, 2 cm and 3 cm if the largest pipe alone can fill the cistern in 49 minutes, the amount of water flowing through each pipe being proportional to the square of its diameter?a)31.5 minutesb)63 minutesc)126 minutesd)None of theseCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In what time would a cistern be filled by three pipes of diameter of 1 cm, 2 cm and 3 cm if the largest pipe alone can fill the cistern in 49 minutes, the amount of water flowing through each pipe being proportional to the square of its diameter?a)31.5 minutesb)63 minutesc)126 minutesd)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In what time would a cistern be filled by three pipes of diameter of 1 cm, 2 cm and 3 cm if the largest pipe alone can fill the cistern in 49 minutes, the amount of water flowing through each pipe being proportional to the square of its diameter?a)31.5 minutesb)63 minutesc)126 minutesd)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Solutions for In what time would a cistern be filled by three pipes of diameter of 1 cm, 2 cm and 3 cm if the largest pipe alone can fill the cistern in 49 minutes, the amount of water flowing through each pipe being proportional to the square of its diameter?a)31.5 minutesb)63 minutesc)126 minutesd)None of theseCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of In what time would a cistern be filled by three pipes of diameter of 1 cm, 2 cm and 3 cm if the largest pipe alone can fill the cistern in 49 minutes, the amount of water flowing through each pipe being proportional to the square of its diameter?a)31.5 minutesb)63 minutesc)126 minutesd)None of theseCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
In what time would a cistern be filled by three pipes of diameter of 1 cm, 2 cm and 3 cm if the largest pipe alone can fill the cistern in 49 minutes, the amount of water flowing through each pipe being proportional to the square of its diameter?a)31.5 minutesb)63 minutesc)126 minutesd)None of theseCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for In what time would a cistern be filled by three pipes of diameter of 1 cm, 2 cm and 3 cm if the largest pipe alone can fill the cistern in 49 minutes, the amount of water flowing through each pipe being proportional to the square of its diameter?a)31.5 minutesb)63 minutesc)126 minutesd)None of theseCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of In what time would a cistern be filled by three pipes of diameter of 1 cm, 2 cm and 3 cm if the largest pipe alone can fill the cistern in 49 minutes, the amount of water flowing through each pipe being proportional to the square of its diameter?a)31.5 minutesb)63 minutesc)126 minutesd)None of theseCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In what time would a cistern be filled by three pipes of diameter of 1 cm, 2 cm and 3 cm if the largest pipe alone can fill the cistern in 49 minutes, the amount of water flowing through each pipe being proportional to the square of its diameter?a)31.5 minutesb)63 minutesc)126 minutesd)None of theseCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup