Banking Exams Exam > Banking Exams Questions > Three pipes A, B and C can fill separately a ...
Start Learning for Free
Three pipes A, B and C can fill separately a cistern in 10, 12 and 15 minutes respectively. A was opened first. After 1 minute, B was opened and after 2 minutes from the start of A, C was also opened. Find the time when the cistern will be full?
- a)2 1/9 min
- b)4 1/2 min
- c)4 13/15 min
- d)5 min
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Three pipes A, B and C can fill separately a cistern in 10, 12 and 15 ...
Let the cistern will be full in T minutes. Then Part filled by A in T min + part filled by B in (T – 1) min + Part filled by C in (T – 2) min = 1
Most Upvoted Answer
Three pipes A, B and C can fill separately a cistern in 10, 12 and 15 ...
Given information:
Three pipes A, B, and C can fill a cistern in 10, 12, and 15 minutes respectively. Pipe A was opened first. After 1 minute, pipe B was opened, and after 2 minutes from the start of pipe A, pipe C was also opened.
Approach:
To find the time when the cistern will be full, we need to calculate the combined rate at which pipes A, B, and C fill the cistern. We can then use this combined rate to find the time taken to fill the cistern completely.
Calculation:
Let's calculate the rates at which pipes A, B, and C fill the cistern in 1 minute.
Pipe A: Fills in 10 minutes, so the rate of A = 1/10
Pipe B: Fills in 12 minutes, so the rate of B = 1/12
Pipe C: Fills in 15 minutes, so the rate of C = 1/15
Combined rate:
When all three pipes are open, their rates are added to get the combined rate.
Combined rate = Rate of A + Rate of B + Rate of C
= 1/10 + 1/12 + 1/15
= (6/60) + (5/60) + (4/60)
= 15/60
= 1/4
This means that when all three pipes are open, they fill 1/4th of the cistern in 1 minute.
Time taken to fill the cistern completely:
Since the combined rate is 1/4, it will take 4 minutes to fill the cistern completely.
However, we need to consider the time when pipes B and C were opened.
Pipe B was opened after 1 minute, so the effective time when B is filling the cistern is 3 minutes (total time - 1 minute).
Pipe C was opened after 2 minutes, so the effective time when C is filling the cistern is 2 minutes (total time - 2 minutes).
Effective time:
Effective time = Total time - Time when the pipe was not opened
Now, we can calculate the effective time taken to fill the cistern completely.
Effective time = 4 minutes - (3 minutes + 2 minutes)
= 4 minutes - 5 minutes
= -1 minute
Since the effective time is negative, it means that the cistern will never be full.
Therefore, the answer is None of these.
Three pipes A, B, and C can fill a cistern in 10, 12, and 15 minutes respectively. Pipe A was opened first. After 1 minute, pipe B was opened, and after 2 minutes from the start of pipe A, pipe C was also opened.
Approach:
To find the time when the cistern will be full, we need to calculate the combined rate at which pipes A, B, and C fill the cistern. We can then use this combined rate to find the time taken to fill the cistern completely.
Calculation:
Let's calculate the rates at which pipes A, B, and C fill the cistern in 1 minute.
Pipe A: Fills in 10 minutes, so the rate of A = 1/10
Pipe B: Fills in 12 minutes, so the rate of B = 1/12
Pipe C: Fills in 15 minutes, so the rate of C = 1/15
Combined rate:
When all three pipes are open, their rates are added to get the combined rate.
Combined rate = Rate of A + Rate of B + Rate of C
= 1/10 + 1/12 + 1/15
= (6/60) + (5/60) + (4/60)
= 15/60
= 1/4
This means that when all three pipes are open, they fill 1/4th of the cistern in 1 minute.
Time taken to fill the cistern completely:
Since the combined rate is 1/4, it will take 4 minutes to fill the cistern completely.
However, we need to consider the time when pipes B and C were opened.
Pipe B was opened after 1 minute, so the effective time when B is filling the cistern is 3 minutes (total time - 1 minute).
Pipe C was opened after 2 minutes, so the effective time when C is filling the cistern is 2 minutes (total time - 2 minutes).
Effective time:
Effective time = Total time - Time when the pipe was not opened
Now, we can calculate the effective time taken to fill the cistern completely.
Effective time = 4 minutes - (3 minutes + 2 minutes)
= 4 minutes - 5 minutes
= -1 minute
Since the effective time is negative, it means that the cistern will never be full.
Therefore, the answer is None of these.
|
Explore Courses for Banking Exams exam
|
|
Similar Banking Exams Doubts
Top Courses for Banking ExamsView all
Three pipes A, B and C can fill separately a cistern in 10, 12 and 15 minutes respectively. A was opened first. After 1 minute, B was opened and after 2 minutes from the start of A, C was also opened. Find the time when the cistern will be full?a)2 1/9 minb)4 1/2 minc)4 13/15 mind)5 mine)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
Three pipes A, B and C can fill separately a cistern in 10, 12 and 15 minutes respectively. A was opened first. After 1 minute, B was opened and after 2 minutes from the start of A, C was also opened. Find the time when the cistern will be full?a)2 1/9 minb)4 1/2 minc)4 13/15 mind)5 mine)None of theseCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Three pipes A, B and C can fill separately a cistern in 10, 12 and 15 minutes respectively. A was opened first. After 1 minute, B was opened and after 2 minutes from the start of A, C was also opened. Find the time when the cistern will be full?a)2 1/9 minb)4 1/2 minc)4 13/15 mind)5 mine)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three pipes A, B and C can fill separately a cistern in 10, 12 and 15 minutes respectively. A was opened first. After 1 minute, B was opened and after 2 minutes from the start of A, C was also opened. Find the time when the cistern will be full?a)2 1/9 minb)4 1/2 minc)4 13/15 mind)5 mine)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Three pipes A, B and C can fill separately a cistern in 10, 12 and 15 minutes respectively. A was opened first. After 1 minute, B was opened and after 2 minutes from the start of A, C was also opened. Find the time when the cistern will be full?a)2 1/9 minb)4 1/2 minc)4 13/15 mind)5 mine)None of theseCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Three pipes A, B and C can fill separately a cistern in 10, 12 and 15 minutes respectively. A was opened first. After 1 minute, B was opened and after 2 minutes from the start of A, C was also opened. Find the time when the cistern will be full?a)2 1/9 minb)4 1/2 minc)4 13/15 mind)5 mine)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three pipes A, B and C can fill separately a cistern in 10, 12 and 15 minutes respectively. A was opened first. After 1 minute, B was opened and after 2 minutes from the start of A, C was also opened. Find the time when the cistern will be full?a)2 1/9 minb)4 1/2 minc)4 13/15 mind)5 mine)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Three pipes A, B and C can fill separately a cistern in 10, 12 and 15 minutes respectively. A was opened first. After 1 minute, B was opened and after 2 minutes from the start of A, C was also opened. Find the time when the cistern will be full?a)2 1/9 minb)4 1/2 minc)4 13/15 mind)5 mine)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams.
Download more important topics, notes, lectures and mock test series for Banking Exams Exam by signing up for free.
Here you can find the meaning of Three pipes A, B and C can fill separately a cistern in 10, 12 and 15 minutes respectively. A was opened first. After 1 minute, B was opened and after 2 minutes from the start of A, C was also opened. Find the time when the cistern will be full?a)2 1/9 minb)4 1/2 minc)4 13/15 mind)5 mine)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Three pipes A, B and C can fill separately a cistern in 10, 12 and 15 minutes respectively. A was opened first. After 1 minute, B was opened and after 2 minutes from the start of A, C was also opened. Find the time when the cistern will be full?a)2 1/9 minb)4 1/2 minc)4 13/15 mind)5 mine)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Three pipes A, B and C can fill separately a cistern in 10, 12 and 15 minutes respectively. A was opened first. After 1 minute, B was opened and after 2 minutes from the start of A, C was also opened. Find the time when the cistern will be full?a)2 1/9 minb)4 1/2 minc)4 13/15 mind)5 mine)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Three pipes A, B and C can fill separately a cistern in 10, 12 and 15 minutes respectively. A was opened first. After 1 minute, B was opened and after 2 minutes from the start of A, C was also opened. Find the time when the cistern will be full?a)2 1/9 minb)4 1/2 minc)4 13/15 mind)5 mine)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Three pipes A, B and C can fill separately a cistern in 10, 12 and 15 minutes respectively. A was opened first. After 1 minute, B was opened and after 2 minutes from the start of A, C was also opened. Find the time when the cistern will be full?a)2 1/9 minb)4 1/2 minc)4 13/15 mind)5 mine)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
|
|
Explore Courses for Banking Exams exam
|
|
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