Mechanical Engineering Exam > Mechanical Engineering Questions > Pipe A, B and C are kept open and together fi...
Start Learning for Free
Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. Find t?
- a)18
- b)36
- c)27
- d)24
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Pipe A, B and C are kept open and together fill a tank in t minutes. P...
A is kept open for all t minutes and fills one-third the tank. Or, A should be able to fill the entire tank in '3t' minutes.
A and B together can fill the tank completely in t minutes. A alone can fill it in 3t minutes.
A and B together can fill 1t of the tank in a minute. A alone can fill 13t of the tank in a minute. So, in a minute, B can fill 1t−13t=23t. Or, B takes 3t2 minutes to fill an entire tank.
To fill one-third the tank, B will take t2 minutes. B is kept open for t - 10 minutes.
t2 = t - 10, t = 20 minutes.
A takes 60 minutes to fill the entire tank, B takes 30 minutes to fill the entire tank. A is kept open for all 20 minutes. B is kept open for 10 minutes.
C, which is kept open for 8 minutes also fills one-third the tank. Or, c alone can fill the tank in 24 minutes.
Most Upvoted Answer
Pipe A, B and C are kept open and together fill a tank in t minutes. P...
Problem Statement:
Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. Find t?
Solution:
Let us assume that the volume of the tank is V.
Let the rate of flow of water through pipe A, B, and C be a, b, and c, respectively.
Therefore, the volume of water filled by pipe A in t minutes = at
Similarly, the volume of water filled by pipe B in 10 minutes = 10b
The volume of water filled by pipe C in (t + 2) minutes = c(t + 2)
Now, as each pipe fills an equal share of the tank, we have:
at = 10b + c(t + 2)
Also, we know that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes.
Therefore, the volume of water filled by pipe A and B in t minutes = V
Now, the rate of flow of water through pipe A and B together = a + b
Therefore, the volume of water filled by pipe A and B in t minutes = (a + b)t
As the volume of the tank filled by each pipe is equal, we have:
(a + b)t = 2(10b + c(t + 2))
Simplifying the above equation, we get:
at - 10b - ct - 20 = 0
Substituting the value of at from the first equation, we get:
10b + 2ct + 20 = 10at
Substituting the value of (a + b)t from the second equation, we get:
20b + 2ct + 40 = (a + b)t
Substituting the value of at from the first equation, we get:
20b + 4ct + 40 = 10at
Substituting the value of at from the first equation, we get:
20b + 4ct + 40 = 10(10b + c(t + 2))
Simplifying the above equation, we get:
6b + 2ct = 5c(t + 2)
Substituting the value of at from the first equation, we get:
6b + 2c(at/b - 10) = 5c(t + 2)
Simplifying the above equation, we get:
2at/b - 20 = 5t/2 + 5
Substituting the value of at from the first equation, we get:
2(10b + c(t + 2))/b - 20 = 5t/2 + 5
Simplifying the above equation, we get:
40 + 2ct/b - 20 = 5t/2 + 5
Substituting the value of (a + b)t from the second equation, we get:
40 + 2ct/b - 20 = (a + b)t/2 + 5
Substituting the
Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. Find t?
Solution:
Let us assume that the volume of the tank is V.
Let the rate of flow of water through pipe A, B, and C be a, b, and c, respectively.
Therefore, the volume of water filled by pipe A in t minutes = at
Similarly, the volume of water filled by pipe B in 10 minutes = 10b
The volume of water filled by pipe C in (t + 2) minutes = c(t + 2)
Now, as each pipe fills an equal share of the tank, we have:
at = 10b + c(t + 2)
Also, we know that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes.
Therefore, the volume of water filled by pipe A and B in t minutes = V
Now, the rate of flow of water through pipe A and B together = a + b
Therefore, the volume of water filled by pipe A and B in t minutes = (a + b)t
As the volume of the tank filled by each pipe is equal, we have:
(a + b)t = 2(10b + c(t + 2))
Simplifying the above equation, we get:
at - 10b - ct - 20 = 0
Substituting the value of at from the first equation, we get:
10b + 2ct + 20 = 10at
Substituting the value of (a + b)t from the second equation, we get:
20b + 2ct + 40 = (a + b)t
Substituting the value of at from the first equation, we get:
20b + 4ct + 40 = 10at
Substituting the value of at from the first equation, we get:
20b + 4ct + 40 = 10(10b + c(t + 2))
Simplifying the above equation, we get:
6b + 2ct = 5c(t + 2)
Substituting the value of at from the first equation, we get:
6b + 2c(at/b - 10) = 5c(t + 2)
Simplifying the above equation, we get:
2at/b - 20 = 5t/2 + 5
Substituting the value of at from the first equation, we get:
2(10b + c(t + 2))/b - 20 = 5t/2 + 5
Simplifying the above equation, we get:
40 + 2ct/b - 20 = 5t/2 + 5
Substituting the value of (a + b)t from the second equation, we get:
40 + 2ct/b - 20 = (a + b)t/2 + 5
Substituting the
Free Test
FREE
| Start Free Test |
Community Answer
Pipe A, B and C are kept open and together fill a tank in t minutes. P...
It is 24
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. Find t?a)18b)36c)27d)24Correct answer is option 'D'. Can you explain this answer?
Question Description
Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. Find t?a)18b)36c)27d)24Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. Find t?a)18b)36c)27d)24Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. Find t?a)18b)36c)27d)24Correct answer is option 'D'. Can you explain this answer?.
Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. Find t?a)18b)36c)27d)24Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. Find t?a)18b)36c)27d)24Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. Find t?a)18b)36c)27d)24Correct answer is option 'D'. Can you explain this answer?.
Solutions for Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. Find t?a)18b)36c)27d)24Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. Find t?a)18b)36c)27d)24Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. Find t?a)18b)36c)27d)24Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. Find t?a)18b)36c)27d)24Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. Find t?a)18b)36c)27d)24Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Pipe A, B and C are kept open and together fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. Find t?a)18b)36c)27d)24Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup