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How long will it take to empty the tank if both the inlet pipe A and the outlet pipe B are opened simultaneously?
I. A can fill the tank in 16 minutes.
II. B can empty the full tank in 8 minutes.
I. A can fill the tank in 16 minutes.
II. B can empty the full tank in 8 minutes.
- a)I alone sufficient while II alone not sufficient to answer
- b)II alone sufficient while I alone not sufficient to answer
- c)Either I or II alone sufficient to answer
- d)Both I and II are necessary to answer
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
How long will it take to empty the tank if both the inlet pipe A and t...
I. A’s 1 minute’s filling work = 1/16
II. B’s 1 minute’s filling work =1/8
(A + B)’s 1 minute’s emptying work
= (1/8 – 1/16) =1/16
∴ Tank will be emptied in 16 minutes.
Thus, both I and II are necessary to answer the question.
∴ Correct answer is (d).
II. B’s 1 minute’s filling work =1/8
(A + B)’s 1 minute’s emptying work
= (1/8 – 1/16) =1/16
∴ Tank will be emptied in 16 minutes.
Thus, both I and II are necessary to answer the question.
∴ Correct answer is (d).
Most Upvoted Answer
How long will it take to empty the tank if both the inlet pipe A and t...
Understanding the Problem
To determine how long it will take to empty the tank when both pipes are opened, we need to analyze the rates at which the inlet pipe A fills the tank and the outlet pipe B empties it.
Information from Statement I
- Pipe A can fill the tank in 16 minutes.
- This means Pipe A's rate is 1/16 of the tank per minute.
Information from Statement II
- Pipe B can empty the full tank in 8 minutes.
- Thus, Pipe B's rate is 1/8 of the tank per minute (but this is a negative contribution since it's emptying).
Combining the Information
1. Rate of Pipe A: +1/16 (filling)
2. Rate of Pipe B: -1/8 (emptying)
To find the combined rate when both pipes are opened:
- Common denominator for 16 and 8 is 16.
- Convert Pipe B's rate: -1/8 = -2/16.
Now, combine the rates:
Combined rate = (1/16) + (-2/16) = -1/16.
Conclusion
The negative result indicates that the tank is emptying at a rate of 1/16 of the tank per minute.
Time to Empty the Tank
If the tank empties at a rate of 1/16, it will take 16 minutes to completely empty the tank.
Why Both Statements Are Necessary
- Statement I alone tells us how fast the tank fills but doesn't provide any information about the emptying process.
- Statement II alone provides the emptying rate but lacks the filling rate.
Thus, both statements are necessary to calculate the time taken to empty the tank when both pipes A and B operate simultaneously, confirming that the correct answer is option 'D'.
To determine how long it will take to empty the tank when both pipes are opened, we need to analyze the rates at which the inlet pipe A fills the tank and the outlet pipe B empties it.
Information from Statement I
- Pipe A can fill the tank in 16 minutes.
- This means Pipe A's rate is 1/16 of the tank per minute.
Information from Statement II
- Pipe B can empty the full tank in 8 minutes.
- Thus, Pipe B's rate is 1/8 of the tank per minute (but this is a negative contribution since it's emptying).
Combining the Information
1. Rate of Pipe A: +1/16 (filling)
2. Rate of Pipe B: -1/8 (emptying)
To find the combined rate when both pipes are opened:
- Common denominator for 16 and 8 is 16.
- Convert Pipe B's rate: -1/8 = -2/16.
Now, combine the rates:
Combined rate = (1/16) + (-2/16) = -1/16.
Conclusion
The negative result indicates that the tank is emptying at a rate of 1/16 of the tank per minute.
Time to Empty the Tank
If the tank empties at a rate of 1/16, it will take 16 minutes to completely empty the tank.
Why Both Statements Are Necessary
- Statement I alone tells us how fast the tank fills but doesn't provide any information about the emptying process.
- Statement II alone provides the emptying rate but lacks the filling rate.
Thus, both statements are necessary to calculate the time taken to empty the tank when both pipes A and B operate simultaneously, confirming that the correct answer is option 'D'.
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How long will it take to empty the tank if both the inlet pipe A and the outlet pipe B are opened simultaneously?I. A can fill the tank in 16 minutes.II. B can empty the full tank in 8 minutes.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are necessary to answerCorrect answer is option 'D'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about How long will it take to empty the tank if both the inlet pipe A and the outlet pipe B are opened simultaneously?I. A can fill the tank in 16 minutes.II. B can empty the full tank in 8 minutes.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are necessary to answerCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How long will it take to empty the tank if both the inlet pipe A and the outlet pipe B are opened simultaneously?I. A can fill the tank in 16 minutes.II. B can empty the full tank in 8 minutes.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are necessary to answerCorrect answer is option 'D'. Can you explain this answer?.
How long will it take to empty the tank if both the inlet pipe A and the outlet pipe B are opened simultaneously?I. A can fill the tank in 16 minutes.II. B can empty the full tank in 8 minutes.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are necessary to answerCorrect answer is option 'D'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about How long will it take to empty the tank if both the inlet pipe A and the outlet pipe B are opened simultaneously?I. A can fill the tank in 16 minutes.II. B can empty the full tank in 8 minutes.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are necessary to answerCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How long will it take to empty the tank if both the inlet pipe A and the outlet pipe B are opened simultaneously?I. A can fill the tank in 16 minutes.II. B can empty the full tank in 8 minutes.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are necessary to answerCorrect answer is option 'D'. Can you explain this answer?.
Solutions for How long will it take to empty the tank if both the inlet pipe A and the outlet pipe B are opened simultaneously?I. A can fill the tank in 16 minutes.II. B can empty the full tank in 8 minutes.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are necessary to answerCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 7.
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How long will it take to empty the tank if both the inlet pipe A and the outlet pipe B are opened simultaneously?I. A can fill the tank in 16 minutes.II. B can empty the full tank in 8 minutes.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are necessary to answerCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for How long will it take to empty the tank if both the inlet pipe A and the outlet pipe B are opened simultaneously?I. A can fill the tank in 16 minutes.II. B can empty the full tank in 8 minutes.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are necessary to answerCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of How long will it take to empty the tank if both the inlet pipe A and the outlet pipe B are opened simultaneously?I. A can fill the tank in 16 minutes.II. B can empty the full tank in 8 minutes.a)I alone sufficient while II alone not sufficient to answerb)II alone sufficient while I alone not sufficient to answerc)Either I or II alone sufficient to answerd)Both I and II are necessary to answerCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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