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A tank has 3 inlet taps, each of which can fill the tank in 20 hours, and 3 outlet taps, each of which can empty the tank in 40 hours. At time t = 0, one inlet tap is opened. After 1 hour, one outlet tap is also opened. Again after one hour, one more inlet tap is opened, and after another hour, one outlet tap is opened and another hour later, one inlet tap is opened. Finally, at the beginning of the sixth hour, all the 6 taps are open and no tap is closed after that until the tank is filled. How much time from the beginning is required for the tank to fill?
- a)12 hours and 40 minutes
- b)13 hours and 20 minutes
- c)14 hours and 20 minutes
- d)15 hours and 40 minutes
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A tank has 3 inlet taps, each of which can fill the tank in 20 hours, ...
In 1st hr part filled = 1/20 = 2/40
In 2nd hr part filled
In 3rd hr part filled
In 4th hr part filled = 2/40
In 5th hr part filled = 4/40
From 6th hr part filled = 3/40, and it continues.
So, at the end of 5th hr, 12/40 part of tank is filled.
Still 28/40 is left. It takes 28/3 hours.
So, the answer is
hours and 20 minutes.
In 2nd hr part filled
In 3rd hr part filled
In 4th hr part filled = 2/40
In 5th hr part filled = 4/40
From 6th hr part filled = 3/40, and it continues.
So, at the end of 5th hr, 12/40 part of tank is filled.
Still 28/40 is left. It takes 28/3 hours.
So, the answer is
hours and 20 minutes.Free Test
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Community Answer
A tank has 3 inlet taps, each of which can fill the tank in 20 hours, ...
To solve this question, we need to determine the net flow rate of water into the tank at each hour and calculate the total time required for the tank to fill.
Let's break down the given information and steps taken to fill the tank:
1. Inlet tap flow rate: Each inlet tap can fill the tank in 20 hours.
2. Outlet tap flow rate: Each outlet tap can empty the tank in 40 hours.
3. At t=0: One inlet tap is opened.
4. After 1 hour: One outlet tap is opened.
5. After 2 hours: Another inlet tap is opened.
6. After 3 hours: Another outlet tap is opened.
7. After 4 hours: Another inlet tap is opened.
8. At the beginning of the 6th hour: All 6 taps are open.
Let's calculate the net flow rate at each hour:
- At t=0: One inlet tap is open, so the net flow rate is 1/20 of the tank per hour (since each inlet tap can fill the tank in 20 hours).
- After 1 hour: One outlet tap is open, which negates the flow rate from the inlet tap. So the net flow rate is 0.
- After 2 hours: Two inlet taps are open, so the net flow rate is 2/20 or 1/10 of the tank per hour.
- After 3 hours: One outlet tap is open, so the net flow rate is 1/10 - 1/40 = 3/40 of the tank per hour.
- After 4 hours: Three inlet taps are open, so the net flow rate is 3/20 of the tank per hour.
- At the beginning of the 6th hour: All 6 taps are open, so the net flow rate is 6/20 or 3/10 of the tank per hour.
Now, let's calculate the total time required for the tank to fill:
Since the net flow rate changes at each hour, we need to calculate the cumulative flow rate at each hour and check when it reaches 1 (the capacity of the tank).
- After 1 hour: Cumulative flow rate = 1/20 * 1 = 1/20 of the tank.
- After 2 hours: Cumulative flow rate = (1/20 * 1) + (1/10 * 1) = 1/20 + 1/10 = 3/20 of the tank.
- After 3 hours: Cumulative flow rate = (1/20 * 1) + (1/10 * 2) + (3/40 * 1) = 1/20 + 1/5 + 3/40 = 11/40 of the tank.
- After 4 hours: Cumulative flow rate = (1/20 * 1) + (1/10 * 2) + (3/40 * 2) + (3/20 * 1) = 1/20 + 1/5 + 3/20 + 3/20 = 17/40 of the tank.
- After 5 hours: Cumulative flow rate = (1/20 * 1) + (1/10 * 2) + (3/40 * 2) + (3/20 * 2) +
Let's break down the given information and steps taken to fill the tank:
1. Inlet tap flow rate: Each inlet tap can fill the tank in 20 hours.
2. Outlet tap flow rate: Each outlet tap can empty the tank in 40 hours.
3. At t=0: One inlet tap is opened.
4. After 1 hour: One outlet tap is opened.
5. After 2 hours: Another inlet tap is opened.
6. After 3 hours: Another outlet tap is opened.
7. After 4 hours: Another inlet tap is opened.
8. At the beginning of the 6th hour: All 6 taps are open.
Let's calculate the net flow rate at each hour:
- At t=0: One inlet tap is open, so the net flow rate is 1/20 of the tank per hour (since each inlet tap can fill the tank in 20 hours).
- After 1 hour: One outlet tap is open, which negates the flow rate from the inlet tap. So the net flow rate is 0.
- After 2 hours: Two inlet taps are open, so the net flow rate is 2/20 or 1/10 of the tank per hour.
- After 3 hours: One outlet tap is open, so the net flow rate is 1/10 - 1/40 = 3/40 of the tank per hour.
- After 4 hours: Three inlet taps are open, so the net flow rate is 3/20 of the tank per hour.
- At the beginning of the 6th hour: All 6 taps are open, so the net flow rate is 6/20 or 3/10 of the tank per hour.
Now, let's calculate the total time required for the tank to fill:
Since the net flow rate changes at each hour, we need to calculate the cumulative flow rate at each hour and check when it reaches 1 (the capacity of the tank).
- After 1 hour: Cumulative flow rate = 1/20 * 1 = 1/20 of the tank.
- After 2 hours: Cumulative flow rate = (1/20 * 1) + (1/10 * 1) = 1/20 + 1/10 = 3/20 of the tank.
- After 3 hours: Cumulative flow rate = (1/20 * 1) + (1/10 * 2) + (3/40 * 1) = 1/20 + 1/5 + 3/40 = 11/40 of the tank.
- After 4 hours: Cumulative flow rate = (1/20 * 1) + (1/10 * 2) + (3/40 * 2) + (3/20 * 1) = 1/20 + 1/5 + 3/20 + 3/20 = 17/40 of the tank.
- After 5 hours: Cumulative flow rate = (1/20 * 1) + (1/10 * 2) + (3/40 * 2) + (3/20 * 2) +
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A tank has 3 inlet taps, each of which can fill the tank in 20 hours, and 3 outlet taps, each of which can empty the tank in 40 hours. At time t = 0, one inlet tap is opened. After 1 hour, one outlet tap is also opened. Again after one hour, one more inlet tap is opened, and after another hour, one outlet tap is opened and another hour later, one inlet tap is opened. Finally, at the beginning of the sixth hour, all the 6 taps are open and no tap is closed after that until the tank is filled. How much time from the beginning is required for the tank to fill?a)12 hours and 40 minutesb)13 hours and 20 minutesc)14 hours and 20 minutesd)15 hours and 40 minutesCorrect answer is option 'C'. Can you explain this answer?
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A tank has 3 inlet taps, each of which can fill the tank in 20 hours, and 3 outlet taps, each of which can empty the tank in 40 hours. At time t = 0, one inlet tap is opened. After 1 hour, one outlet tap is also opened. Again after one hour, one more inlet tap is opened, and after another hour, one outlet tap is opened and another hour later, one inlet tap is opened. Finally, at the beginning of the sixth hour, all the 6 taps are open and no tap is closed after that until the tank is filled. How much time from the beginning is required for the tank to fill?a)12 hours and 40 minutesb)13 hours and 20 minutesc)14 hours and 20 minutesd)15 hours and 40 minutesCorrect answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A tank has 3 inlet taps, each of which can fill the tank in 20 hours, and 3 outlet taps, each of which can empty the tank in 40 hours. At time t = 0, one inlet tap is opened. After 1 hour, one outlet tap is also opened. Again after one hour, one more inlet tap is opened, and after another hour, one outlet tap is opened and another hour later, one inlet tap is opened. Finally, at the beginning of the sixth hour, all the 6 taps are open and no tap is closed after that until the tank is filled. How much time from the beginning is required for the tank to fill?a)12 hours and 40 minutesb)13 hours and 20 minutesc)14 hours and 20 minutesd)15 hours and 40 minutesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tank has 3 inlet taps, each of which can fill the tank in 20 hours, and 3 outlet taps, each of which can empty the tank in 40 hours. At time t = 0, one inlet tap is opened. After 1 hour, one outlet tap is also opened. Again after one hour, one more inlet tap is opened, and after another hour, one outlet tap is opened and another hour later, one inlet tap is opened. Finally, at the beginning of the sixth hour, all the 6 taps are open and no tap is closed after that until the tank is filled. How much time from the beginning is required for the tank to fill?a)12 hours and 40 minutesb)13 hours and 20 minutesc)14 hours and 20 minutesd)15 hours and 40 minutesCorrect answer is option 'C'. Can you explain this answer?.
A tank has 3 inlet taps, each of which can fill the tank in 20 hours, and 3 outlet taps, each of which can empty the tank in 40 hours. At time t = 0, one inlet tap is opened. After 1 hour, one outlet tap is also opened. Again after one hour, one more inlet tap is opened, and after another hour, one outlet tap is opened and another hour later, one inlet tap is opened. Finally, at the beginning of the sixth hour, all the 6 taps are open and no tap is closed after that until the tank is filled. How much time from the beginning is required for the tank to fill?a)12 hours and 40 minutesb)13 hours and 20 minutesc)14 hours and 20 minutesd)15 hours and 40 minutesCorrect answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A tank has 3 inlet taps, each of which can fill the tank in 20 hours, and 3 outlet taps, each of which can empty the tank in 40 hours. At time t = 0, one inlet tap is opened. After 1 hour, one outlet tap is also opened. Again after one hour, one more inlet tap is opened, and after another hour, one outlet tap is opened and another hour later, one inlet tap is opened. Finally, at the beginning of the sixth hour, all the 6 taps are open and no tap is closed after that until the tank is filled. How much time from the beginning is required for the tank to fill?a)12 hours and 40 minutesb)13 hours and 20 minutesc)14 hours and 20 minutesd)15 hours and 40 minutesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tank has 3 inlet taps, each of which can fill the tank in 20 hours, and 3 outlet taps, each of which can empty the tank in 40 hours. At time t = 0, one inlet tap is opened. After 1 hour, one outlet tap is also opened. Again after one hour, one more inlet tap is opened, and after another hour, one outlet tap is opened and another hour later, one inlet tap is opened. Finally, at the beginning of the sixth hour, all the 6 taps are open and no tap is closed after that until the tank is filled. How much time from the beginning is required for the tank to fill?a)12 hours and 40 minutesb)13 hours and 20 minutesc)14 hours and 20 minutesd)15 hours and 40 minutesCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A tank has 3 inlet taps, each of which can fill the tank in 20 hours, and 3 outlet taps, each of which can empty the tank in 40 hours. At time t = 0, one inlet tap is opened. After 1 hour, one outlet tap is also opened. Again after one hour, one more inlet tap is opened, and after another hour, one outlet tap is opened and another hour later, one inlet tap is opened. Finally, at the beginning of the sixth hour, all the 6 taps are open and no tap is closed after that until the tank is filled. How much time from the beginning is required for the tank to fill?a)12 hours and 40 minutesb)13 hours and 20 minutesc)14 hours and 20 minutesd)15 hours and 40 minutesCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of A tank has 3 inlet taps, each of which can fill the tank in 20 hours, and 3 outlet taps, each of which can empty the tank in 40 hours. At time t = 0, one inlet tap is opened. After 1 hour, one outlet tap is also opened. Again after one hour, one more inlet tap is opened, and after another hour, one outlet tap is opened and another hour later, one inlet tap is opened. Finally, at the beginning of the sixth hour, all the 6 taps are open and no tap is closed after that until the tank is filled. How much time from the beginning is required for the tank to fill?a)12 hours and 40 minutesb)13 hours and 20 minutesc)14 hours and 20 minutesd)15 hours and 40 minutesCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A tank has 3 inlet taps, each of which can fill the tank in 20 hours, and 3 outlet taps, each of which can empty the tank in 40 hours. At time t = 0, one inlet tap is opened. After 1 hour, one outlet tap is also opened. Again after one hour, one more inlet tap is opened, and after another hour, one outlet tap is opened and another hour later, one inlet tap is opened. Finally, at the beginning of the sixth hour, all the 6 taps are open and no tap is closed after that until the tank is filled. How much time from the beginning is required for the tank to fill?a)12 hours and 40 minutesb)13 hours and 20 minutesc)14 hours and 20 minutesd)15 hours and 40 minutesCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A tank has 3 inlet taps, each of which can fill the tank in 20 hours, and 3 outlet taps, each of which can empty the tank in 40 hours. At time t = 0, one inlet tap is opened. After 1 hour, one outlet tap is also opened. Again after one hour, one more inlet tap is opened, and after another hour, one outlet tap is opened and another hour later, one inlet tap is opened. Finally, at the beginning of the sixth hour, all the 6 taps are open and no tap is closed after that until the tank is filled. How much time from the beginning is required for the tank to fill?a)12 hours and 40 minutesb)13 hours and 20 minutesc)14 hours and 20 minutesd)15 hours and 40 minutesCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A tank has 3 inlet taps, each of which can fill the tank in 20 hours, and 3 outlet taps, each of which can empty the tank in 40 hours. At time t = 0, one inlet tap is opened. After 1 hour, one outlet tap is also opened. Again after one hour, one more inlet tap is opened, and after another hour, one outlet tap is opened and another hour later, one inlet tap is opened. Finally, at the beginning of the sixth hour, all the 6 taps are open and no tap is closed after that until the tank is filled. How much time from the beginning is required for the tank to fill?a)12 hours and 40 minutesb)13 hours and 20 minutesc)14 hours and 20 minutesd)15 hours and 40 minutesCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A tank has 3 inlet taps, each of which can fill the tank in 20 hours, and 3 outlet taps, each of which can empty the tank in 40 hours. At time t = 0, one inlet tap is opened. After 1 hour, one outlet tap is also opened. Again after one hour, one more inlet tap is opened, and after another hour, one outlet tap is opened and another hour later, one inlet tap is opened. Finally, at the beginning of the sixth hour, all the 6 taps are open and no tap is closed after that until the tank is filled. How much time from the beginning is required for the tank to fill?a)12 hours and 40 minutesb)13 hours and 20 minutesc)14 hours and 20 minutesd)15 hours and 40 minutesCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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