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Pipe A, B and can fill a Full Tank in 24,36 and 48 Minutes respectively. All three Pipes are Opened simultaneously in a Tank which is already filled up to 1/6 of its capacity. A and B are opened for only First 6 Minutes and closed thereafter.Then C alone filled remaining Tank. Then in total how many Minutes does C filled the Tank?
- a)12 Minutes
- b)14 Minutes
- c)16 Minutes
- d)18 Minutes
- e)20 Minutes
Correct answer is option 'E'. Can you explain this answer?
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Verified Answer
Pipe A, B and can fill a Full Tank in 24,36 and 48 Minutes respectivel...
6*(1/24+1/36+1/48) + x/48 = 5/6
x = 14 Min
C = 6+14 = 20
x = 14 Min
C = 6+14 = 20
Most Upvoted Answer
Pipe A, B and can fill a Full Tank in 24,36 and 48 Minutes respectivel...
6*(1/24+1/36+1/48) + x/48 = 5/6
x = 14 Min
C = 6+14 = 20
x = 14 Min
C = 6+14 = 20
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Community Answer
Pipe A, B and can fill a Full Tank in 24,36 and 48 Minutes respectivel...
Question: In total, how many minutes does Pipe C take to fill the tank?
Given information:
- Pipe A can fill the full tank in 24 minutes.
- Pipe B can fill the full tank in 36 minutes.
- Pipe C can fill the full tank in 48 minutes.
- All three pipes are opened simultaneously.
- The tank is already filled up to 1/6 of its capacity.
- Pipes A and B are opened for the first 6 minutes and then closed.
- Pipe C alone fills the remaining tank.
Let's calculate the filling rate of each pipe first.
- Pipe A fills the full tank in 24 minutes, so its filling rate is 1/24 of the tank per minute.
- Pipe B fills the full tank in 36 minutes, so its filling rate is 1/36 of the tank per minute.
- Pipe C fills the full tank in 48 minutes, so its filling rate is 1/48 of the tank per minute.
The tank is already filled up to 1/6 of its capacity, which means there is already 1/6 of the tank filled. So, the remaining capacity of the tank is 1 - 1/6 = 5/6.
Now let's calculate how much of the tank is filled in the first 6 minutes when Pipes A and B are opened.
- Pipe A fills 1/24 of the tank per minute, so in 6 minutes it fills 6 * (1/24) = 1/4 of the tank.
- Pipe B fills 1/36 of the tank per minute, so in 6 minutes it fills 6 * (1/36) = 1/6 of the tank.
- Therefore, the combined filling rate of Pipes A and B in the first 6 minutes is 1/4 + 1/6 = 5/12 of the tank.
After the first 6 minutes, Pipes A and B are closed, and Pipe C alone fills the remaining tank.
- The remaining capacity of the tank is 5/6.
- Pipe C fills 1/48 of the tank per minute.
- So, the time taken by Pipe C to fill the remaining tank is (5/6) / (1/48) = (5/6) * (48/1) = 40 minutes.
Therefore, Pipe C takes a total of 40 minutes to fill the remaining tank.
Answer: The correct option is e) 20 minutes.
Given information:
- Pipe A can fill the full tank in 24 minutes.
- Pipe B can fill the full tank in 36 minutes.
- Pipe C can fill the full tank in 48 minutes.
- All three pipes are opened simultaneously.
- The tank is already filled up to 1/6 of its capacity.
- Pipes A and B are opened for the first 6 minutes and then closed.
- Pipe C alone fills the remaining tank.
Let's calculate the filling rate of each pipe first.
- Pipe A fills the full tank in 24 minutes, so its filling rate is 1/24 of the tank per minute.
- Pipe B fills the full tank in 36 minutes, so its filling rate is 1/36 of the tank per minute.
- Pipe C fills the full tank in 48 minutes, so its filling rate is 1/48 of the tank per minute.
The tank is already filled up to 1/6 of its capacity, which means there is already 1/6 of the tank filled. So, the remaining capacity of the tank is 1 - 1/6 = 5/6.
Now let's calculate how much of the tank is filled in the first 6 minutes when Pipes A and B are opened.
- Pipe A fills 1/24 of the tank per minute, so in 6 minutes it fills 6 * (1/24) = 1/4 of the tank.
- Pipe B fills 1/36 of the tank per minute, so in 6 minutes it fills 6 * (1/36) = 1/6 of the tank.
- Therefore, the combined filling rate of Pipes A and B in the first 6 minutes is 1/4 + 1/6 = 5/12 of the tank.
After the first 6 minutes, Pipes A and B are closed, and Pipe C alone fills the remaining tank.
- The remaining capacity of the tank is 5/6.
- Pipe C fills 1/48 of the tank per minute.
- So, the time taken by Pipe C to fill the remaining tank is (5/6) / (1/48) = (5/6) * (48/1) = 40 minutes.
Therefore, Pipe C takes a total of 40 minutes to fill the remaining tank.
Answer: The correct option is e) 20 minutes.
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Pipe A, B and can fill a Full Tank in 24,36 and 48 Minutes respectively. All three Pipes are Opened simultaneously in a Tank which is already filled up to 1/6 of its capacity. A and B are opened for only First 6 Minutes and closed thereafter.Then C alone filled remaining Tank. Then in total how many Minutes does C filled the Tank?a)12 Minutesb)14 Minutesc)16 Minutesd)18 Minutese)20 MinutesCorrect answer is option 'E'. Can you explain this answer?
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Pipe A, B and can fill a Full Tank in 24,36 and 48 Minutes respectively. All three Pipes are Opened simultaneously in a Tank which is already filled up to 1/6 of its capacity. A and B are opened for only First 6 Minutes and closed thereafter.Then C alone filled remaining Tank. Then in total how many Minutes does C filled the Tank?a)12 Minutesb)14 Minutesc)16 Minutesd)18 Minutese)20 MinutesCorrect answer is option 'E'. 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 Pipe A, B and can fill a Full Tank in 24,36 and 48 Minutes respectively. All three Pipes are Opened simultaneously in a Tank which is already filled up to 1/6 of its capacity. A and B are opened for only First 6 Minutes and closed thereafter.Then C alone filled remaining Tank. Then in total how many Minutes does C filled the Tank?a)12 Minutesb)14 Minutesc)16 Minutesd)18 Minutese)20 MinutesCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pipe A, B and can fill a Full Tank in 24,36 and 48 Minutes respectively. All three Pipes are Opened simultaneously in a Tank which is already filled up to 1/6 of its capacity. A and B are opened for only First 6 Minutes and closed thereafter.Then C alone filled remaining Tank. Then in total how many Minutes does C filled the Tank?a)12 Minutesb)14 Minutesc)16 Minutesd)18 Minutese)20 MinutesCorrect answer is option 'E'. Can you explain this answer?.
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