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A pipe can fill a tank in 20 minutes and another pipe can fill the tank in 40 minutes. There is a waste pipe which can empty the tank in 15 minutes. First two pipes are opened for 5 minutes and then the third pipe is also opened. In what time the cistern is emptied after the third pipe also opened
- a)60
- b)75
- c)80
- d)90
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A pipe can fill a tank in 20 minutes and another pipe can fill the tan...
(1/20 + 1/40)*5 + (1/20 + 1/40 – 1/15)*T = 1
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A pipe can fill a tank in 20 minutes and another pipe can fill the tan...
Let's assume that the tank has a capacity of 120 units (LCM of 20, 40, and 15).
The first pipe can fill the tank in 20 minutes, so in 1 minute, it can fill 6 units (120 units divided by 20 minutes).
The second pipe can fill the tank in 40 minutes, so in 1 minute, it can fill 3 units (120 units divided by 40 minutes).
The third pipe can empty the tank in 15 minutes, so in 1 minute, it can empty 8 units (120 units divided by 15 minutes).
After 5 minutes, the first pipe has filled 5 * 6 = 30 units.
After 5 minutes, the second pipe has filled 5 * 3 = 15 units.
So, after 5 minutes, the tank has 30 + 15 = 45 units filled.
When all three pipes are open, the net filling rate of the tank is (6 + 3) - 8 = 1 unit per minute.
To empty the tank, we need to remove 45 units (as calculated above).
So, it will take 45 minutes to empty the tank with all three pipes open.
Therefore, the correct answer is option (B) 75.
The first pipe can fill the tank in 20 minutes, so in 1 minute, it can fill 6 units (120 units divided by 20 minutes).
The second pipe can fill the tank in 40 minutes, so in 1 minute, it can fill 3 units (120 units divided by 40 minutes).
The third pipe can empty the tank in 15 minutes, so in 1 minute, it can empty 8 units (120 units divided by 15 minutes).
After 5 minutes, the first pipe has filled 5 * 6 = 30 units.
After 5 minutes, the second pipe has filled 5 * 3 = 15 units.
So, after 5 minutes, the tank has 30 + 15 = 45 units filled.
When all three pipes are open, the net filling rate of the tank is (6 + 3) - 8 = 1 unit per minute.
To empty the tank, we need to remove 45 units (as calculated above).
So, it will take 45 minutes to empty the tank with all three pipes open.
Therefore, the correct answer is option (B) 75.
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A pipe can fill a tank in 20 minutes and another pipe can fill the tan...
E
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A pipe can fill a tank in 20 minutes and another pipe can fill the tank in 40 minutes. There is a waste pipe which can empty the tank in 15 minutes. First two pipes are opened for 5 minutes and then the third pipe is also opened. In what time the cistern is emptied after the third pipe also openeda)60b)75c)80d)90e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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A pipe can fill a tank in 20 minutes and another pipe can fill the tank in 40 minutes. There is a waste pipe which can empty the tank in 15 minutes. First two pipes are opened for 5 minutes and then the third pipe is also opened. In what time the cistern is emptied after the third pipe also openeda)60b)75c)80d)90e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A pipe can fill a tank in 20 minutes and another pipe can fill the tank in 40 minutes. There is a waste pipe which can empty the tank in 15 minutes. First two pipes are opened for 5 minutes and then the third pipe is also opened. In what time the cistern is emptied after the third pipe also openeda)60b)75c)80d)90e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pipe can fill a tank in 20 minutes and another pipe can fill the tank in 40 minutes. There is a waste pipe which can empty the tank in 15 minutes. First two pipes are opened for 5 minutes and then the third pipe is also opened. In what time the cistern is emptied after the third pipe also openeda)60b)75c)80d)90e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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