SSC Exam > SSC Questions > Two pipes A and B can fill a tank in 20 hours...
Start Learning for Free
Two pipes A and B can fill a tank in 20 hours and 24 hours respectively, if the two pipes opened at 5 am in the morning, then at what time the pipe A should be closed to completely fill the tank exactly at 5 in the evening?
- a)3 pm
- b)2 pm
- c)4 pm
- d)1 pm
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Two pipes A and B can fill a tank in 20 hours and 24 hours respectivel...
Two pipes A and B can fill a tank in 20 hours and 24 hours respectively,
Let total work be 120 units,
As B worked for all the time,
⇒ Work done by B in 12 hours = 120/24 × 12 = 60 units
Remaining work was done by A,
⇒ A would take 60 × 20/120 hours = 10 hours
∴ A should be closed at 3 pm.
Let total work be 120 units,
As B worked for all the time,
⇒ Work done by B in 12 hours = 120/24 × 12 = 60 units
Remaining work was done by A,
⇒ A would take 60 × 20/120 hours = 10 hours
∴ A should be closed at 3 pm.
Most Upvoted Answer
Two pipes A and B can fill a tank in 20 hours and 24 hours respectivel...
To solve this problem, we need to find the time it takes for pipe A to fill the tank and then subtract that time from the total time available (from 5 am to 5 pm) to determine when pipe A should be closed.
Let's calculate the time it takes for pipe A to fill the tank:
- Pipe A can fill the tank in 20 hours.
- Therefore, in 1 hour, pipe A can fill 1/20th of the tank.
Now let's calculate the time it takes for pipe B to fill the tank:
- Pipe B can fill the tank in 24 hours.
- Therefore, in 1 hour, pipe B can fill 1/24th of the tank.
Since both pipes are open from 5 am to 5 pm, we have a total of 12 hours available to fill the tank. Now we can calculate the amount of the tank filled by each pipe in 12 hours:
- Pipe A can fill (1/20) x 12 = 12/20 = 3/5 of the tank in 12 hours.
- Pipe B can fill (1/24) x 12 = 12/24 = 1/2 of the tank in 12 hours.
Since we want to completely fill the tank, the sum of the amounts filled by both pipes should be equal to 1.
- (3/5) + (1/2) = 6/10 + 5/10 = 11/10
Therefore, the combined fill rate of both pipes is greater than 1. This means that pipe A alone can fill the tank in less than 12 hours.
To find the exact time when pipe A should be closed, we need to calculate the time it takes for pipe A to fill the tank completely:
- Pipe A can fill 1/20th of the tank in 1 hour.
- Therefore, pipe A can fill the entire tank in 20 hours.
Since pipe A needs to be closed at 5 pm, we need to subtract 20 hours from the total time available (12 hours):
- 12 - 20 = -8
As the result is negative, it means that pipe A should be closed 8 hours before 5 pm, which is 9 am.
Therefore, pipe A should be closed at 9 am in order to completely fill the tank by 5 pm.
Let's calculate the time it takes for pipe A to fill the tank:
- Pipe A can fill the tank in 20 hours.
- Therefore, in 1 hour, pipe A can fill 1/20th of the tank.
Now let's calculate the time it takes for pipe B to fill the tank:
- Pipe B can fill the tank in 24 hours.
- Therefore, in 1 hour, pipe B can fill 1/24th of the tank.
Since both pipes are open from 5 am to 5 pm, we have a total of 12 hours available to fill the tank. Now we can calculate the amount of the tank filled by each pipe in 12 hours:
- Pipe A can fill (1/20) x 12 = 12/20 = 3/5 of the tank in 12 hours.
- Pipe B can fill (1/24) x 12 = 12/24 = 1/2 of the tank in 12 hours.
Since we want to completely fill the tank, the sum of the amounts filled by both pipes should be equal to 1.
- (3/5) + (1/2) = 6/10 + 5/10 = 11/10
Therefore, the combined fill rate of both pipes is greater than 1. This means that pipe A alone can fill the tank in less than 12 hours.
To find the exact time when pipe A should be closed, we need to calculate the time it takes for pipe A to fill the tank completely:
- Pipe A can fill 1/20th of the tank in 1 hour.
- Therefore, pipe A can fill the entire tank in 20 hours.
Since pipe A needs to be closed at 5 pm, we need to subtract 20 hours from the total time available (12 hours):
- 12 - 20 = -8
As the result is negative, it means that pipe A should be closed 8 hours before 5 pm, which is 9 am.
Therefore, pipe A should be closed at 9 am in order to completely fill the tank by 5 pm.
|
Explore Courses for SSC exam
|
|
Similar SSC Doubts
Two pipes A and B can fill a tank in 20 hours and 24 hours respectively, if the two pipes opened at 5 am in the morning, then at what time the pipe A should be closed to completely fill the tank exactly at 5 in the evening?a)3 pmb)2 pmc)4 pmd)1 pmCorrect answer is option 'A'. Can you explain this answer?
Question Description
Two pipes A and B can fill a tank in 20 hours and 24 hours respectively, if the two pipes opened at 5 am in the morning, then at what time the pipe A should be closed to completely fill the tank exactly at 5 in the evening?a)3 pmb)2 pmc)4 pmd)1 pmCorrect answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Two pipes A and B can fill a tank in 20 hours and 24 hours respectively, if the two pipes opened at 5 am in the morning, then at what time the pipe A should be closed to completely fill the tank exactly at 5 in the evening?a)3 pmb)2 pmc)4 pmd)1 pmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes A and B can fill a tank in 20 hours and 24 hours respectively, if the two pipes opened at 5 am in the morning, then at what time the pipe A should be closed to completely fill the tank exactly at 5 in the evening?a)3 pmb)2 pmc)4 pmd)1 pmCorrect answer is option 'A'. Can you explain this answer?.
Two pipes A and B can fill a tank in 20 hours and 24 hours respectively, if the two pipes opened at 5 am in the morning, then at what time the pipe A should be closed to completely fill the tank exactly at 5 in the evening?a)3 pmb)2 pmc)4 pmd)1 pmCorrect answer is option 'A'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Two pipes A and B can fill a tank in 20 hours and 24 hours respectively, if the two pipes opened at 5 am in the morning, then at what time the pipe A should be closed to completely fill the tank exactly at 5 in the evening?a)3 pmb)2 pmc)4 pmd)1 pmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two pipes A and B can fill a tank in 20 hours and 24 hours respectively, if the two pipes opened at 5 am in the morning, then at what time the pipe A should be closed to completely fill the tank exactly at 5 in the evening?a)3 pmb)2 pmc)4 pmd)1 pmCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Two pipes A and B can fill a tank in 20 hours and 24 hours respectively, if the two pipes opened at 5 am in the morning, then at what time the pipe A should be closed to completely fill the tank exactly at 5 in the evening?a)3 pmb)2 pmc)4 pmd)1 pmCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC.
Download more important topics, notes, lectures and mock test series for SSC Exam by signing up for free.
Here you can find the meaning of Two pipes A and B can fill a tank in 20 hours and 24 hours respectively, if the two pipes opened at 5 am in the morning, then at what time the pipe A should be closed to completely fill the tank exactly at 5 in the evening?a)3 pmb)2 pmc)4 pmd)1 pmCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two pipes A and B can fill a tank in 20 hours and 24 hours respectively, if the two pipes opened at 5 am in the morning, then at what time the pipe A should be closed to completely fill the tank exactly at 5 in the evening?a)3 pmb)2 pmc)4 pmd)1 pmCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Two pipes A and B can fill a tank in 20 hours and 24 hours respectively, if the two pipes opened at 5 am in the morning, then at what time the pipe A should be closed to completely fill the tank exactly at 5 in the evening?a)3 pmb)2 pmc)4 pmd)1 pmCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Two pipes A and B can fill a tank in 20 hours and 24 hours respectively, if the two pipes opened at 5 am in the morning, then at what time the pipe A should be closed to completely fill the tank exactly at 5 in the evening?a)3 pmb)2 pmc)4 pmd)1 pmCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two pipes A and B can fill a tank in 20 hours and 24 hours respectively, if the two pipes opened at 5 am in the morning, then at what time the pipe A should be closed to completely fill the tank exactly at 5 in the evening?a)3 pmb)2 pmc)4 pmd)1 pmCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice SSC tests.
|
|
Explore Courses for SSC 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
|
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