Class 12 Exam > Class 12 Questions > A water tank is 2/5 th full. Pipe A can fill ...
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A water tank is 2/5 th full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
- a)6 min to empty
- b)7 min to full
- c)6 min to full
- d)7 min to empty
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A water tank is 2/5 th full. Pipe A can fill a tank in 10 minutes and ...
Given:
Water tank is 2/5 th full.
Pipe A can fill a tank in 10 minutes.
Pipe B can empty in 6 minutes.
To find:
Time taken to empty or fill the tank completely.
Solution:
Let the capacity of the tank be 'x'.
Given, the tank is 2/5 th full. So, the amount of water present in the tank = 2/5 x.
The amount of water to be filled or emptied = x - 2/5 x = 3/5 x.
Let's find the rate of filling or emptying of each pipe.
Pipe A can fill the tank in 10 minutes, so its filling rate = 1/10 tank/minute.
Pipe B can empty the tank in 6 minutes, so its emptying rate = 1/6 tank/minute.
Let's consider both pipes are open at the same time.
Net rate of filling or emptying = filling rate - emptying rate
= 1/10 - 1/6
= (3 - 5)/30
= -1/15 tank/minute (negative sign indicates emptying)
Time taken to fill or empty the tank completely = (Amount of water to be filled or emptied) / (Net rate of filling or emptying)
= (3/5 x) / (1/15)
= (3/5 x) * 15
= 9x
Since the net rate is negative, the tank will be emptied. Therefore, the time taken to empty the tank completely = 9x = 9 * capacity of the tank = 9 * x.
Hence, the correct option is (a) 6 minutes to empty.
Water tank is 2/5 th full.
Pipe A can fill a tank in 10 minutes.
Pipe B can empty in 6 minutes.
To find:
Time taken to empty or fill the tank completely.
Solution:
Let the capacity of the tank be 'x'.
Given, the tank is 2/5 th full. So, the amount of water present in the tank = 2/5 x.
The amount of water to be filled or emptied = x - 2/5 x = 3/5 x.
Let's find the rate of filling or emptying of each pipe.
Pipe A can fill the tank in 10 minutes, so its filling rate = 1/10 tank/minute.
Pipe B can empty the tank in 6 minutes, so its emptying rate = 1/6 tank/minute.
Let's consider both pipes are open at the same time.
Net rate of filling or emptying = filling rate - emptying rate
= 1/10 - 1/6
= (3 - 5)/30
= -1/15 tank/minute (negative sign indicates emptying)
Time taken to fill or empty the tank completely = (Amount of water to be filled or emptied) / (Net rate of filling or emptying)
= (3/5 x) / (1/15)
= (3/5 x) * 15
= 9x
Since the net rate is negative, the tank will be emptied. Therefore, the time taken to empty the tank completely = 9x = 9 * capacity of the tank = 9 * x.
Hence, the correct option is (a) 6 minutes to empty.
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Community Answer
A water tank is 2/5 th full. Pipe A can fill a tank in 10 minutes and ...
- Since pipe B is faster than pipe A and thus, the tank will be emptied.
- Part of the tank to be emptied = 2/5
- Part emptied by (A+B) in 1 minute= (1/6 - 1/10) = 1/15.
Therefore,
⇒ 1/15 : 2/5 :: 1: x
⇒ 2/5 * 15 = 6 minutes
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A water tank is 2/5 th full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?a)6 min to emptyb)7 min to fullc)6 min to fulld)7 min to emptyCorrect answer is option 'A'. Can you explain this answer?
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A water tank is 2/5 th full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?a)6 min to emptyb)7 min to fullc)6 min to fulld)7 min to emptyCorrect answer is option 'A'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A water tank is 2/5 th full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?a)6 min to emptyb)7 min to fullc)6 min to fulld)7 min to emptyCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A water tank is 2/5 th full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?a)6 min to emptyb)7 min to fullc)6 min to fulld)7 min to emptyCorrect answer is option 'A'. Can you explain this answer?.
A water tank is 2/5 th full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?a)6 min to emptyb)7 min to fullc)6 min to fulld)7 min to emptyCorrect answer is option 'A'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A water tank is 2/5 th full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?a)6 min to emptyb)7 min to fullc)6 min to fulld)7 min to emptyCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A water tank is 2/5 th full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?a)6 min to emptyb)7 min to fullc)6 min to fulld)7 min to emptyCorrect answer is option 'A'. Can you explain this answer?.
Solutions for A water tank is 2/5 th full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?a)6 min to emptyb)7 min to fullc)6 min to fulld)7 min to emptyCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
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A water tank is 2/5 th full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?a)6 min to emptyb)7 min to fullc)6 min to fulld)7 min to emptyCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A water tank is 2/5 th full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?a)6 min to emptyb)7 min to fullc)6 min to fulld)7 min to emptyCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A water tank is 2/5 th full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?a)6 min to emptyb)7 min to fullc)6 min to fulld)7 min to emptyCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A water tank is 2/5 th full. Pipe A can fill a tank in 10 minutes and pipe B can empty in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?a)6 min to emptyb)7 min to fullc)6 min to fulld)7 min to emptyCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 12 tests.
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