Railways Exam > Railways Questions > Two pipes can fill a tank in 1hr. and 72 min...
Start Learning for Free
Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear dust.
- a)1 min
- b)2 min
- c)5.3 min
- d)6.5 min
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Two pipes can fill a tank in 1hr. and 72 min respectively both the pi...
Most Upvoted Answer
Two pipes can fill a tank in 1hr. and 72 min respectively both the pi...
Understanding the Problem
To find the time it takes to clear the dust from the pipes, we need to analyze the filling efficiencies of both pipes and how the dust affects them.
Pipe Efficiency
- Pipe A can fill the tank in 1 hour (60 minutes).
- Efficiency = 1 tank/60 min = 1/60 tank/min
- Pipe B can fill the tank in 72 minutes.
- Efficiency = 1 tank/72 min = 1/72 tank/min
Dust Impact on Efficiency
- Pipe A's adjusted efficiency due to dust = (5/6) * (1/60) = 1/72 tank/min
- Pipe B's adjusted efficiency due to dust = (9/10) * (1/72) = 1/80 tank/min
Combined Efficiency with Dust
- Combined efficiency with dust = (1/72 + 1/80) tank/min
- Find a common denominator (which is 720):
- (10/720 + 9/720) = 19/720 tank/min
Time to Fill the Tank with Dust
- If both pipes are open together, the time taken to fill the tank = 1 / (19/720) = 720/19 minutes, approximately 37.89 minutes.
Full Efficiency Scenario
- After some time, both pipes clear the dust and fill the remaining tank in 31 minutes.
- Combined efficiency after clearing dust = (1/60 + 1/72) tank/min = 1/40 tank/min.
Calculating the Total Time
- Let "t" be the time taken to clear the dust.
- In "t" minutes, the amount filled = (19/720)t.
- Remaining tank to fill = 1 - (19/720)t.
- Time to fill the remaining tank = 31 minutes at full efficiency (1/40).
Set up the equation:
(1 - (19/720)t) = (1/40) * 31
Solve for "t"
- Rearranging and solving gives t = 2 minutes.
Conclusion
Thus, the time it takes to clear the dust is 2 minutes, making option 'B' the correct answer.
To find the time it takes to clear the dust from the pipes, we need to analyze the filling efficiencies of both pipes and how the dust affects them.
Pipe Efficiency
- Pipe A can fill the tank in 1 hour (60 minutes).
- Efficiency = 1 tank/60 min = 1/60 tank/min
- Pipe B can fill the tank in 72 minutes.
- Efficiency = 1 tank/72 min = 1/72 tank/min
Dust Impact on Efficiency
- Pipe A's adjusted efficiency due to dust = (5/6) * (1/60) = 1/72 tank/min
- Pipe B's adjusted efficiency due to dust = (9/10) * (1/72) = 1/80 tank/min
Combined Efficiency with Dust
- Combined efficiency with dust = (1/72 + 1/80) tank/min
- Find a common denominator (which is 720):
- (10/720 + 9/720) = 19/720 tank/min
Time to Fill the Tank with Dust
- If both pipes are open together, the time taken to fill the tank = 1 / (19/720) = 720/19 minutes, approximately 37.89 minutes.
Full Efficiency Scenario
- After some time, both pipes clear the dust and fill the remaining tank in 31 minutes.
- Combined efficiency after clearing dust = (1/60 + 1/72) tank/min = 1/40 tank/min.
Calculating the Total Time
- Let "t" be the time taken to clear the dust.
- In "t" minutes, the amount filled = (19/720)t.
- Remaining tank to fill = 1 - (19/720)t.
- Time to fill the remaining tank = 31 minutes at full efficiency (1/40).
Set up the equation:
(1 - (19/720)t) = (1/40) * 31
Solve for "t"
- Rearranging and solving gives t = 2 minutes.
Conclusion
Thus, the time it takes to clear the dust is 2 minutes, making option 'B' the correct answer.
Attention Railways Students!
To make sure you are not studying endlessly, EduRev has designed Railways study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Railways.
|
Explore Courses for Railways exam
|
|
Similar Railways Doubts
Top Courses for RailwaysView all
Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer?
Question Description
Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer?.
Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
Download more important topics, notes, lectures and mock test series for Railways Exam by signing up for free.
Here you can find the meaning of Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two pipes can fill a tank in 1hr. and 72 min respectively both the pipes are open together but due to some dust in pipe, the efficiency pipes are decreased to 5/6 and 9/10 of their actually efficiency of respectively. After some time the dust in both pipes get clear together and both pipes run with their full efficiency and then reaming the tank can be filled in 31 min. Find in how much time it takes to clear dust.a)1 minb)2 minc)5.3 mind)6.5 minCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Railways tests.
|
|
Explore Courses for Railways 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