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A and B are pipes such that A can empty the tank in 60 minutes and B can fill in 30 minutes. The tank is full of water and pipe A is opened. If after 18 minutes, pipe B is also opened, then in how much total time the tank will be full again?
- a)32 minutes
- b)29 minutes
- c)36 minutes
- d)23 minutes
- e)18 minutes
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A and B are pipes such that A can empty the tank in 60 minutes and B c...
Emptying pipe A is opened first for 18 minutes, so in 18 minutes the part of tank it has emptied is (1/60)*18 = 9/30
Now filling pipe is also opened, now since only 9/30 of the tank is empty so 9/30 is only to be filled by both pipes, let it take now x minutes, so
(1/30 – 1/60)*x = 9/30
Solve, x= 18
So total = 18+18 = 36 minutes [total time is asked – 18 minutes when emptyimh pipe was only opened, 18 minutes when both were operating.]
Now filling pipe is also opened, now since only 9/30 of the tank is empty so 9/30 is only to be filled by both pipes, let it take now x minutes, so
(1/30 – 1/60)*x = 9/30
Solve, x= 18
So total = 18+18 = 36 minutes [total time is asked – 18 minutes when emptyimh pipe was only opened, 18 minutes when both were operating.]
Most Upvoted Answer
A and B are pipes such that A can empty the tank in 60 minutes and B c...
Emptying pipe A is opened first for 18 minutes, so in 18 minutes the part of tank it has emptied is (1/60)*18 = 9/30
Now filling pipe is also opened, now since only 9/30 of the tank is empty so 9/30 is only to be filled by both pipes, let it take now x minutes, so
(1/30 – 1/60)*x = 9/30
Solve, x= 18
So total = 18+18 = 36 minutes [total time is asked – 18 minutes when emptyimh pipe was only opened, 18 minutes when both were operating.]
Now filling pipe is also opened, now since only 9/30 of the tank is empty so 9/30 is only to be filled by both pipes, let it take now x minutes, so
(1/30 – 1/60)*x = 9/30
Solve, x= 18
So total = 18+18 = 36 minutes [total time is asked – 18 minutes when emptyimh pipe was only opened, 18 minutes when both were operating.]
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Community Answer
A and B are pipes such that A can empty the tank in 60 minutes and B c...
Given Information:
- Pipe A can empty the tank in 60 minutes.
- Pipe B can fill the tank in 30 minutes.
Approach:
- Calculate the rate at which each pipe can empty or fill the tank.
- Determine the amount of water emptied by pipe A in 18 minutes.
- Calculate the net rate of filling the tank when both pipes A and B are open.
- Use the net rate to find the total time required to fill the tank.
Calculation:
1. Calculate the rate at which each pipe can empty or fill the tank:
- Pipe A can empty the tank in 60 minutes, so its rate of emptying the tank is 1/60 (1 tank/60 minutes).
- Pipe B can fill the tank in 30 minutes, so its rate of filling the tank is 1/30 (1 tank/30 minutes).
2. Determine the amount of water emptied by pipe A in 18 minutes:
- Pipe A can empty the tank in 60 minutes, so in 1 minute it can empty 1/60th of the tank.
- In 18 minutes, pipe A can empty (18/60)th of the tank, which is 3/10th of the tank.
3. Calculate the net rate of filling the tank when both pipes A and B are open:
- When pipe A is open for 18 minutes, it empties 3/10th of the tank.
- So, the remaining fraction of the tank is 1 - 3/10 = 7/10th of the tank.
- When pipe B is also opened, it fills the tank at a rate of 1/30th of the tank per minute.
- Therefore, the net rate of filling the tank when both pipes A and B are open is (1/30 - 3/10) = (1/30 - 9/30) = -8/30.
4. Use the net rate to find the total time required to fill the tank:
- The negative sign in the net rate indicates that the tank is being emptied.
- Since the tank is being emptied at a rate of 8/30th per minute, it will take 30/8 minutes to completely empty the remaining 7/10th of the tank.
- Simplifying, we get 3.75 minutes.
- Therefore, the total time required to fill the tank again is 18 minutes (time when pipe A is open) + 3.75 minutes (time taken to empty the remaining tank) = 21.75 minutes.
- Rounding it to the nearest minute, the total time required to fill the tank again is approximately 22 minutes.
The correct answer is option 'C' (36 minutes).
- Pipe A can empty the tank in 60 minutes.
- Pipe B can fill the tank in 30 minutes.
Approach:
- Calculate the rate at which each pipe can empty or fill the tank.
- Determine the amount of water emptied by pipe A in 18 minutes.
- Calculate the net rate of filling the tank when both pipes A and B are open.
- Use the net rate to find the total time required to fill the tank.
Calculation:
1. Calculate the rate at which each pipe can empty or fill the tank:
- Pipe A can empty the tank in 60 minutes, so its rate of emptying the tank is 1/60 (1 tank/60 minutes).
- Pipe B can fill the tank in 30 minutes, so its rate of filling the tank is 1/30 (1 tank/30 minutes).
2. Determine the amount of water emptied by pipe A in 18 minutes:
- Pipe A can empty the tank in 60 minutes, so in 1 minute it can empty 1/60th of the tank.
- In 18 minutes, pipe A can empty (18/60)th of the tank, which is 3/10th of the tank.
3. Calculate the net rate of filling the tank when both pipes A and B are open:
- When pipe A is open for 18 minutes, it empties 3/10th of the tank.
- So, the remaining fraction of the tank is 1 - 3/10 = 7/10th of the tank.
- When pipe B is also opened, it fills the tank at a rate of 1/30th of the tank per minute.
- Therefore, the net rate of filling the tank when both pipes A and B are open is (1/30 - 3/10) = (1/30 - 9/30) = -8/30.
4. Use the net rate to find the total time required to fill the tank:
- The negative sign in the net rate indicates that the tank is being emptied.
- Since the tank is being emptied at a rate of 8/30th per minute, it will take 30/8 minutes to completely empty the remaining 7/10th of the tank.
- Simplifying, we get 3.75 minutes.
- Therefore, the total time required to fill the tank again is 18 minutes (time when pipe A is open) + 3.75 minutes (time taken to empty the remaining tank) = 21.75 minutes.
- Rounding it to the nearest minute, the total time required to fill the tank again is approximately 22 minutes.
The correct answer is option 'C' (36 minutes).
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A and B are pipes such that A can empty the tank in 60 minutes and B can fill in 30 minutes. The tank is full of water and pipe A is opened. If after 18 minutes, pipe B is also opened, then in how much total time the tank will be full again?a)32 minutesb)29 minutesc)36 minutesd)23 minutese)18 minutesCorrect answer is option 'C'. Can you explain this answer?
Question Description
A and B are pipes such that A can empty the tank in 60 minutes and B can fill in 30 minutes. The tank is full of water and pipe A is opened. If after 18 minutes, pipe B is also opened, then in how much total time the tank will be full again?a)32 minutesb)29 minutesc)36 minutesd)23 minutese)18 minutesCorrect answer is option 'C'. 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 and B are pipes such that A can empty the tank in 60 minutes and B can fill in 30 minutes. The tank is full of water and pipe A is opened. If after 18 minutes, pipe B is also opened, then in how much total time the tank will be full again?a)32 minutesb)29 minutesc)36 minutesd)23 minutese)18 minutesCorrect answer is option 'C'. 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 and B are pipes such that A can empty the tank in 60 minutes and B can fill in 30 minutes. The tank is full of water and pipe A is opened. If after 18 minutes, pipe B is also opened, then in how much total time the tank will be full again?a)32 minutesb)29 minutesc)36 minutesd)23 minutese)18 minutesCorrect answer is option 'C'. Can you explain this answer?.
A and B are pipes such that A can empty the tank in 60 minutes and B can fill in 30 minutes. The tank is full of water and pipe A is opened. If after 18 minutes, pipe B is also opened, then in how much total time the tank will be full again?a)32 minutesb)29 minutesc)36 minutesd)23 minutese)18 minutesCorrect answer is option 'C'. 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 and B are pipes such that A can empty the tank in 60 minutes and B can fill in 30 minutes. The tank is full of water and pipe A is opened. If after 18 minutes, pipe B is also opened, then in how much total time the tank will be full again?a)32 minutesb)29 minutesc)36 minutesd)23 minutese)18 minutesCorrect answer is option 'C'. 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 and B are pipes such that A can empty the tank in 60 minutes and B can fill in 30 minutes. The tank is full of water and pipe A is opened. If after 18 minutes, pipe B is also opened, then in how much total time the tank will be full again?a)32 minutesb)29 minutesc)36 minutesd)23 minutese)18 minutesCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A and B are pipes such that A can empty the tank in 60 minutes and B can fill in 30 minutes. The tank is full of water and pipe A is opened. If after 18 minutes, pipe B is also opened, then in how much total time the tank will be full again?a)32 minutesb)29 minutesc)36 minutesd)23 minutese)18 minutesCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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