Railways Exam > Railways Questions > A swimming pool has two pipes one can fill it...
Start Learning for Free
A swimming pool has two pipes one can fill it with water in 32 hours and other can empty it in 12 hours. In how many hours will the swimming pool be emptied if both the pipes are opened together when 3/8th of the swimming pool is already filled with water?
- a)6 (1/3) hours
- b)8 hours
- c)7 (1/5) hours
- d)6 hours
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A swimming pool has two pipes one can fill it with water in 32 hours a...
If both pipes are open, then total units per hour empty the swimming pool (P - Q) = 3 - 8 = - 5 units
According to question,
Swimming pool has 3/8th of its total capacity in the beginning 3/8 × 96 = 36 units
Time taken to empty the swimming pool = 36/ (-5) = 7 (1/5) hour
Most Upvoted Answer
A swimming pool has two pipes one can fill it with water in 32 hours a...
To solve this problem, we can use the concept of work done. Let's break down the problem into steps and solve it.
Step 1: Calculate the work done by the first pipe in 1 hour.
We are given that the first pipe can fill the swimming pool in 32 hours. Therefore, in 1 hour, the first pipe can fill 1/32 of the swimming pool.
Step 2: Calculate the work done by the second pipe in 1 hour.
We are given that the second pipe can empty the swimming pool in 12 hours. Therefore, in 1 hour, the second pipe can empty 1/12 of the swimming pool.
Step 3: Calculate the work done by both pipes together in 1 hour.
Since the first pipe fills the pool and the second pipe empties it, the net work done by both pipes together in 1 hour is the difference between their individual work done.
Net work done = (work done by the first pipe) - (work done by the second pipe)
Net work done = 1/32 - 1/12
Net work done = (3 - 8)/96
Net work done = -5/96
Step 4: Determine the fraction of the pool that needs to be emptied.
We are given that 3/8th of the swimming pool is already filled. Therefore, the fraction of the pool that needs to be emptied is 1 - 3/8 = 5/8.
Step 5: Calculate the time taken to empty 5/8th of the swimming pool.
Since the net work done by both pipes together in 1 hour is -5/96, it means that the swimming pool is being emptied at a rate of 5/96 of its total volume per hour.
Let's assume the total volume of the swimming pool is V.
Therefore, the swimming pool will be emptied in V / (5/96) hours.
Step 6: Simplify the expression.
V / (5/96) = V * (96/5)
V * (96/5) = 96V / 5
So, the swimming pool will be emptied in 96V / 5 hours.
Step 7: Substitute the fraction of the pool that needs to be emptied.
Since we are given that the fraction of the pool that needs to be emptied is 5/8, we substitute this value into the expression.
96V / 5 = 5/8
96V = 5 * 8
V = (5 * 8) / 96
V = 40 / 96
V = 5/12
So, the swimming pool will be emptied in 96V / 5 = 96 * (5/12) / 5 = 96/12 = 8 hours.
Therefore, the correct answer is option 'C', 7 (1/5) hours.
Step 1: Calculate the work done by the first pipe in 1 hour.
We are given that the first pipe can fill the swimming pool in 32 hours. Therefore, in 1 hour, the first pipe can fill 1/32 of the swimming pool.
Step 2: Calculate the work done by the second pipe in 1 hour.
We are given that the second pipe can empty the swimming pool in 12 hours. Therefore, in 1 hour, the second pipe can empty 1/12 of the swimming pool.
Step 3: Calculate the work done by both pipes together in 1 hour.
Since the first pipe fills the pool and the second pipe empties it, the net work done by both pipes together in 1 hour is the difference between their individual work done.
Net work done = (work done by the first pipe) - (work done by the second pipe)
Net work done = 1/32 - 1/12
Net work done = (3 - 8)/96
Net work done = -5/96
Step 4: Determine the fraction of the pool that needs to be emptied.
We are given that 3/8th of the swimming pool is already filled. Therefore, the fraction of the pool that needs to be emptied is 1 - 3/8 = 5/8.
Step 5: Calculate the time taken to empty 5/8th of the swimming pool.
Since the net work done by both pipes together in 1 hour is -5/96, it means that the swimming pool is being emptied at a rate of 5/96 of its total volume per hour.
Let's assume the total volume of the swimming pool is V.
Therefore, the swimming pool will be emptied in V / (5/96) hours.
Step 6: Simplify the expression.
V / (5/96) = V * (96/5)
V * (96/5) = 96V / 5
So, the swimming pool will be emptied in 96V / 5 hours.
Step 7: Substitute the fraction of the pool that needs to be emptied.
Since we are given that the fraction of the pool that needs to be emptied is 5/8, we substitute this value into the expression.
96V / 5 = 5/8
96V = 5 * 8
V = (5 * 8) / 96
V = 40 / 96
V = 5/12
So, the swimming pool will be emptied in 96V / 5 = 96 * (5/12) / 5 = 96/12 = 8 hours.
Therefore, the correct answer is option 'C', 7 (1/5) hours.
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
A swimming pool has two pipes one can fill it with water in 32 hours and other can empty it in 12 hours. In how many hours will the swimming pool be emptied if both the pipes are opened together when 3/8th of the swimming pool is already filled with water?a)6 (1/3) hoursb)8 hoursc)7 (1/5)hoursd)6 hoursCorrect answer is option 'C'. Can you explain this answer?
Question Description
A swimming pool has two pipes one can fill it with water in 32 hours and other can empty it in 12 hours. In how many hours will the swimming pool be emptied if both the pipes are opened together when 3/8th of the swimming pool is already filled with water?a)6 (1/3) hoursb)8 hoursc)7 (1/5)hoursd)6 hoursCorrect answer is option 'C'. 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 A swimming pool has two pipes one can fill it with water in 32 hours and other can empty it in 12 hours. In how many hours will the swimming pool be emptied if both the pipes are opened together when 3/8th of the swimming pool is already filled with water?a)6 (1/3) hoursb)8 hoursc)7 (1/5)hoursd)6 hoursCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A swimming pool has two pipes one can fill it with water in 32 hours and other can empty it in 12 hours. In how many hours will the swimming pool be emptied if both the pipes are opened together when 3/8th of the swimming pool is already filled with water?a)6 (1/3) hoursb)8 hoursc)7 (1/5)hoursd)6 hoursCorrect answer is option 'C'. Can you explain this answer?.
A swimming pool has two pipes one can fill it with water in 32 hours and other can empty it in 12 hours. In how many hours will the swimming pool be emptied if both the pipes are opened together when 3/8th of the swimming pool is already filled with water?a)6 (1/3) hoursb)8 hoursc)7 (1/5)hoursd)6 hoursCorrect answer is option 'C'. 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 A swimming pool has two pipes one can fill it with water in 32 hours and other can empty it in 12 hours. In how many hours will the swimming pool be emptied if both the pipes are opened together when 3/8th of the swimming pool is already filled with water?a)6 (1/3) hoursb)8 hoursc)7 (1/5)hoursd)6 hoursCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A swimming pool has two pipes one can fill it with water in 32 hours and other can empty it in 12 hours. In how many hours will the swimming pool be emptied if both the pipes are opened together when 3/8th of the swimming pool is already filled with water?a)6 (1/3) hoursb)8 hoursc)7 (1/5)hoursd)6 hoursCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A swimming pool has two pipes one can fill it with water in 32 hours and other can empty it in 12 hours. In how many hours will the swimming pool be emptied if both the pipes are opened together when 3/8th of the swimming pool is already filled with water?a)6 (1/3) hoursb)8 hoursc)7 (1/5)hoursd)6 hoursCorrect answer is option 'C'. 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 A swimming pool has two pipes one can fill it with water in 32 hours and other can empty it in 12 hours. In how many hours will the swimming pool be emptied if both the pipes are opened together when 3/8th of the swimming pool is already filled with water?a)6 (1/3) hoursb)8 hoursc)7 (1/5)hoursd)6 hoursCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A swimming pool has two pipes one can fill it with water in 32 hours and other can empty it in 12 hours. In how many hours will the swimming pool be emptied if both the pipes are opened together when 3/8th of the swimming pool is already filled with water?a)6 (1/3) hoursb)8 hoursc)7 (1/5)hoursd)6 hoursCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A swimming pool has two pipes one can fill it with water in 32 hours and other can empty it in 12 hours. In how many hours will the swimming pool be emptied if both the pipes are opened together when 3/8th of the swimming pool is already filled with water?a)6 (1/3) hoursb)8 hoursc)7 (1/5)hoursd)6 hoursCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A swimming pool has two pipes one can fill it with water in 32 hours and other can empty it in 12 hours. In how many hours will the swimming pool be emptied if both the pipes are opened together when 3/8th of the swimming pool is already filled with water?a)6 (1/3) hoursb)8 hoursc)7 (1/5)hoursd)6 hoursCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A swimming pool has two pipes one can fill it with water in 32 hours and other can empty it in 12 hours. In how many hours will the swimming pool be emptied if both the pipes are opened together when 3/8th of the swimming pool is already filled with water?a)6 (1/3) hoursb)8 hoursc)7 (1/5)hoursd)6 hoursCorrect answer is option 'C'. 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