Electrical Engineering (EE) Exam > Electrical Engineering (EE) 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 1/t of the tank in a minute. A alone can fill 1/3t of the tank in a minute. So, in a minute, B can fill 1/t - 1/3t=2/3t.Or, B takes 3t/2 minutes to fill an entire tank.
To fill one-third the tank, B will take t/2 minutes. B is kept open for t - 10 minutes.
t/2 t - 10, t = 20 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...
Given:
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.
If pipe A and B are kept open continuously, the tank would be filled completely in t minutes.
To Find: The value of t.
Solution:
Let the capacity of the tank be T, and the rate of flow of each pipe be A.
According to the given condition, each pipe fills an equal share of the tank, i.e., the rate of flow of each pipe is equal. So,
Rate of flow of pipe A = Rate of flow of pipe B = Rate of flow of pipe C = A
Let the time taken by pipe A, B, and C to fill the tank be t1, t2, and t3, respectively.
The total time taken to fill the tank by all pipes together is t.
So, t1 + t2 + t3 = t
The total amount of water filled by pipe A in t minutes = T
The total amount of water filled by pipe B in the first 10 minutes = 10A
The total amount of water filled by pipe C in (t2 + 2) minutes = (t - t1 - 10 + 2)A = (t - t1 - 8)A
As each pipe fills an equal share of the tank, the total amount of water filled by each pipe is equal. So,
T = 10A + (t - t1 - 8)A
=> T = (t - t1 + 2)A
=> t - t1 = T/A - 2
The time taken by pipe A and B to fill the tank = t
The total amount of water filled by pipe A and B together in t minutes = T
The total amount of water filled by pipe B in the first 10 minutes = 10A
As each pipe fills an equal share of the tank, the total amount of water filled by each pipe is equal. So,
T = 10A + (t - 10)A
=> T = tA - 10A
=> t = T/A + 10
Substituting the value of t in terms of T and A from equation (3) in equation (1),
T/A + 10 - t1 = T/A - 2
=> t1 = 12
Substituting the value of t1 in equation (2),
t2 + t3 = t1
=> t2 + t3 = 12
=> t2 + (t - t1 - 2) = 12
=> t2 + t - t1 - 2 = 12
=> t2 + t - 10 = 12
=> t2 = 22 - t
Substituting the value of t1 and t2 in equation (1),
T = 10A + (t - t1 - 8)A
=> T = 10A + (t - 12 - 8)A
=> T = (t - 20)A
Substituting the value of T in equation (4),
t =
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.
If pipe A and B are kept open continuously, the tank would be filled completely in t minutes.
To Find: The value of t.
Solution:
Let the capacity of the tank be T, and the rate of flow of each pipe be A.
According to the given condition, each pipe fills an equal share of the tank, i.e., the rate of flow of each pipe is equal. So,
Rate of flow of pipe A = Rate of flow of pipe B = Rate of flow of pipe C = A
Let the time taken by pipe A, B, and C to fill the tank be t1, t2, and t3, respectively.
The total time taken to fill the tank by all pipes together is t.
So, t1 + t2 + t3 = t
The total amount of water filled by pipe A in t minutes = T
The total amount of water filled by pipe B in the first 10 minutes = 10A
The total amount of water filled by pipe C in (t2 + 2) minutes = (t - t1 - 10 + 2)A = (t - t1 - 8)A
As each pipe fills an equal share of the tank, the total amount of water filled by each pipe is equal. So,
T = 10A + (t - t1 - 8)A
=> T = (t - t1 + 2)A
=> t - t1 = T/A - 2
The time taken by pipe A and B to fill the tank = t
The total amount of water filled by pipe A and B together in t minutes = T
The total amount of water filled by pipe B in the first 10 minutes = 10A
As each pipe fills an equal share of the tank, the total amount of water filled by each pipe is equal. So,
T = 10A + (t - 10)A
=> T = tA - 10A
=> t = T/A + 10
Substituting the value of t in terms of T and A from equation (3) in equation (1),
T/A + 10 - t1 = T/A - 2
=> t1 = 12
Substituting the value of t1 in equation (2),
t2 + t3 = t1
=> t2 + t3 = 12
=> t2 + (t - t1 - 2) = 12
=> t2 + t - t1 - 2 = 12
=> t2 + t - 10 = 12
=> t2 = 22 - t
Substituting the value of t1 and t2 in equation (1),
T = 10A + (t - t1 - 8)A
=> T = 10A + (t - 12 - 8)A
=> T = (t - 20)A
Substituting the value of T in equation (4),
t =
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...
Pipe A can fill 1/3rd tank in t minutes
So, pipe B can fill 2/3rd of tank in t minutes.
Since 1/3rd tank pipe B is filling in 10 minutes so 2/3rd it will fill in 20 minutes.
Hence t =20 minutes.
Pipe C is open for 20 -12 =8 minutes
In 8 minutes pipe C fill 1/3rd of the tank, so full tank it will fill in 24 minutes.
So, pipe B can fill 2/3rd of tank in t minutes.
Since 1/3rd tank pipe B is filling in 10 minutes so 2/3rd it will fill in 20 minutes.
Hence t =20 minutes.
Pipe C is open for 20 -12 =8 minutes
In 8 minutes pipe C fill 1/3rd of the tank, so full tank it will fill in 24 minutes.
Attention Electrical Engineering (EE) Students!
To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View 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 Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) 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 Electrical Engineering (EE) 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 Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) 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 Electrical Engineering (EE) 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 Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) 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 Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) 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