CAT Exam > CAT Questions > The tanks 1, 2, 3 and 4 with unlimited capaci...
Start Learning for Free
The tanks 1, 2, 3 and 4 with unlimited capacities contain 300 litres of water each. There are three outlets from each tank to the other three tanks.
From tank 1, water flows at the rate of 20 litres per minute into each of the other three tanks. From tank 2, water flows at the rate of 25 litres per minute into each of the other three tanks. Similarly, water from tanks 3 and 4 flows at the rate of 15 litres per minute and 30 litres per minute into each of the other three tanks.
From tank 1, water flows at the rate of 20 litres per minute into each of the other three tanks. From tank 2, water flows at the rate of 25 litres per minute into each of the other three tanks. Similarly, water from tanks 3 and 4 flows at the rate of 15 litres per minute and 30 litres per minute into each of the other three tanks.
Q. Which tank empties first and how much time it will take to get emptied?
- a)Tank 4 in 10 minutes
- b)Tank 2 in 20 minutes
- c)Tank 4 in 30 minute
- d)Tank 4 in 20 minutes
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The tanks 1, 2, 3 and 4 with unlimited capacities contain 300 litres o...
From every tank, water flows to other three tanks and hence every tank receives water from other three tanks. The net flow of water in each tank in one minute is as follows:
+ denotes inflow
- denotes outflow
+ denotes inflow
- denotes outflow
Maximum net outflow is from tank 4. Hence it will get emptied first.
Net outflow in one minute = 30 litres
Time required to empty 300 litres = 300/30 = 10 minutes
Hence, option 1.
Net outflow in one minute = 30 litres
Time required to empty 300 litres = 300/30 = 10 minutes
Hence, option 1.
Most Upvoted Answer
The tanks 1, 2, 3 and 4 with unlimited capacities contain 300 litres o...
Problem Analysis:
We are given four tanks with unlimited capacities, each initially containing 300 liters of water. Water flows from each tank to the other three tanks at different rates. Our task is to determine which tank will empty first and the time it takes to empty that tank.
Solution:
To solve this problem, we need to analyze the rate at which water flows out of each tank and determine which tank will reach zero first.
Rate of Water Flow:
Let's analyze the rate of water flow from each tank to the other three tanks:
- Tank 1: Water flows at a rate of 20 liters per minute into each of the other three tanks.
- Tank 2: Water flows at a rate of 25 liters per minute into each of the other three tanks.
- Tank 3: Water flows at a rate of 15 liters per minute into each of the other three tanks.
- Tank 4: Water flows at a rate of 30 liters per minute into each of the other three tanks.
Calculating the Time to Empty:
To determine the time it takes for each tank to empty, we need to calculate the net flow of water out of each tank per minute. We can do this by subtracting the rate of water flow into each tank from the rate of water flow out of that tank.
Let's calculate the net flow of water out of each tank per minute:
- Tank 1: Water flows out of tank 1 at a rate of (3 * 20) liters per minute, as there are three outlets. So, the net flow out of tank 1 is 60 liters per minute.
- Tank 2: Water flows out of tank 2 at a rate of (3 * 25) liters per minute, so the net flow out of tank 2 is 75 liters per minute.
- Tank 3: Water flows out of tank 3 at a rate of (3 * 15) liters per minute, so the net flow out of tank 3 is 45 liters per minute.
- Tank 4: Water flows out of tank 4 at a rate of (3 * 30) liters per minute, so the net flow out of tank 4 is 90 liters per minute.
Now, let's calculate the time it takes for each tank to empty:
- Tank 1: Since the tank initially contains 300 liters of water and water flows out at a rate of 60 liters per minute, it will take 300/60 = 5 minutes for tank 1 to empty.
- Tank 2: With a net flow out of 75 liters per minute and an initial capacity of 300 liters, it will take 300/75 = 4 minutes for tank 2 to empty.
- Tank 3: The net flow out of tank 3 is 45 liters per minute, so it will take 300/45 = 6.67 minutes for tank 3 to empty.
- Tank 4: Since the net flow out of tank 4 is 90 liters per minute, tank 4 will empty in 300/90 = 3.33 minutes.
Conclusion:
From our calculations, we can see that Tank 4 empties first, and it takes approximately 3.33 minutes for it to empty.
We are given four tanks with unlimited capacities, each initially containing 300 liters of water. Water flows from each tank to the other three tanks at different rates. Our task is to determine which tank will empty first and the time it takes to empty that tank.
Solution:
To solve this problem, we need to analyze the rate at which water flows out of each tank and determine which tank will reach zero first.
Rate of Water Flow:
Let's analyze the rate of water flow from each tank to the other three tanks:
- Tank 1: Water flows at a rate of 20 liters per minute into each of the other three tanks.
- Tank 2: Water flows at a rate of 25 liters per minute into each of the other three tanks.
- Tank 3: Water flows at a rate of 15 liters per minute into each of the other three tanks.
- Tank 4: Water flows at a rate of 30 liters per minute into each of the other three tanks.
Calculating the Time to Empty:
To determine the time it takes for each tank to empty, we need to calculate the net flow of water out of each tank per minute. We can do this by subtracting the rate of water flow into each tank from the rate of water flow out of that tank.
Let's calculate the net flow of water out of each tank per minute:
- Tank 1: Water flows out of tank 1 at a rate of (3 * 20) liters per minute, as there are three outlets. So, the net flow out of tank 1 is 60 liters per minute.
- Tank 2: Water flows out of tank 2 at a rate of (3 * 25) liters per minute, so the net flow out of tank 2 is 75 liters per minute.
- Tank 3: Water flows out of tank 3 at a rate of (3 * 15) liters per minute, so the net flow out of tank 3 is 45 liters per minute.
- Tank 4: Water flows out of tank 4 at a rate of (3 * 30) liters per minute, so the net flow out of tank 4 is 90 liters per minute.
Now, let's calculate the time it takes for each tank to empty:
- Tank 1: Since the tank initially contains 300 liters of water and water flows out at a rate of 60 liters per minute, it will take 300/60 = 5 minutes for tank 1 to empty.
- Tank 2: With a net flow out of 75 liters per minute and an initial capacity of 300 liters, it will take 300/75 = 4 minutes for tank 2 to empty.
- Tank 3: The net flow out of tank 3 is 45 liters per minute, so it will take 300/45 = 6.67 minutes for tank 3 to empty.
- Tank 4: Since the net flow out of tank 4 is 90 liters per minute, tank 4 will empty in 300/90 = 3.33 minutes.
Conclusion:
From our calculations, we can see that Tank 4 empties first, and it takes approximately 3.33 minutes for it to empty.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
The tanks 1, 2, 3 and 4 with unlimited capacities contain 300 litres of water each. There are three outlets from each tank to the other three tanks.From tank 1, water flows at the rate of 20 litres per minute into each of the other three tanks. From tank 2, water flows at the rate of 25 litres per minuteinto each of the other three tanks. Similarly, water from tanks 3 and 4 flows at the rate of 15 litres per minute and 30 litres per minute into each of the other three tanks.Q. Which tank empties first and how much time it will take to get emptied?a)Tank 4 in 10 minutesb)Tank 2 in 20 minutesc)Tank 4 in 30 minuted)Tank 4 in 20 minutesCorrect answer is option 'D'. Can you explain this answer?
Question Description
The tanks 1, 2, 3 and 4 with unlimited capacities contain 300 litres of water each. There are three outlets from each tank to the other three tanks.From tank 1, water flows at the rate of 20 litres per minute into each of the other three tanks. From tank 2, water flows at the rate of 25 litres per minuteinto each of the other three tanks. Similarly, water from tanks 3 and 4 flows at the rate of 15 litres per minute and 30 litres per minute into each of the other three tanks.Q. Which tank empties first and how much time it will take to get emptied?a)Tank 4 in 10 minutesb)Tank 2 in 20 minutesc)Tank 4 in 30 minuted)Tank 4 in 20 minutesCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The tanks 1, 2, 3 and 4 with unlimited capacities contain 300 litres of water each. There are three outlets from each tank to the other three tanks.From tank 1, water flows at the rate of 20 litres per minute into each of the other three tanks. From tank 2, water flows at the rate of 25 litres per minuteinto each of the other three tanks. Similarly, water from tanks 3 and 4 flows at the rate of 15 litres per minute and 30 litres per minute into each of the other three tanks.Q. Which tank empties first and how much time it will take to get emptied?a)Tank 4 in 10 minutesb)Tank 2 in 20 minutesc)Tank 4 in 30 minuted)Tank 4 in 20 minutesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The tanks 1, 2, 3 and 4 with unlimited capacities contain 300 litres of water each. There are three outlets from each tank to the other three tanks.From tank 1, water flows at the rate of 20 litres per minute into each of the other three tanks. From tank 2, water flows at the rate of 25 litres per minuteinto each of the other three tanks. Similarly, water from tanks 3 and 4 flows at the rate of 15 litres per minute and 30 litres per minute into each of the other three tanks.Q. Which tank empties first and how much time it will take to get emptied?a)Tank 4 in 10 minutesb)Tank 2 in 20 minutesc)Tank 4 in 30 minuted)Tank 4 in 20 minutesCorrect answer is option 'D'. Can you explain this answer?.
The tanks 1, 2, 3 and 4 with unlimited capacities contain 300 litres of water each. There are three outlets from each tank to the other three tanks.From tank 1, water flows at the rate of 20 litres per minute into each of the other three tanks. From tank 2, water flows at the rate of 25 litres per minuteinto each of the other three tanks. Similarly, water from tanks 3 and 4 flows at the rate of 15 litres per minute and 30 litres per minute into each of the other three tanks.Q. Which tank empties first and how much time it will take to get emptied?a)Tank 4 in 10 minutesb)Tank 2 in 20 minutesc)Tank 4 in 30 minuted)Tank 4 in 20 minutesCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The tanks 1, 2, 3 and 4 with unlimited capacities contain 300 litres of water each. There are three outlets from each tank to the other three tanks.From tank 1, water flows at the rate of 20 litres per minute into each of the other three tanks. From tank 2, water flows at the rate of 25 litres per minuteinto each of the other three tanks. Similarly, water from tanks 3 and 4 flows at the rate of 15 litres per minute and 30 litres per minute into each of the other three tanks.Q. Which tank empties first and how much time it will take to get emptied?a)Tank 4 in 10 minutesb)Tank 2 in 20 minutesc)Tank 4 in 30 minuted)Tank 4 in 20 minutesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The tanks 1, 2, 3 and 4 with unlimited capacities contain 300 litres of water each. There are three outlets from each tank to the other three tanks.From tank 1, water flows at the rate of 20 litres per minute into each of the other three tanks. From tank 2, water flows at the rate of 25 litres per minuteinto each of the other three tanks. Similarly, water from tanks 3 and 4 flows at the rate of 15 litres per minute and 30 litres per minute into each of the other three tanks.Q. Which tank empties first and how much time it will take to get emptied?a)Tank 4 in 10 minutesb)Tank 2 in 20 minutesc)Tank 4 in 30 minuted)Tank 4 in 20 minutesCorrect answer is option 'D'. Can you explain this answer?.
Solutions for The tanks 1, 2, 3 and 4 with unlimited capacities contain 300 litres of water each. There are three outlets from each tank to the other three tanks.From tank 1, water flows at the rate of 20 litres per minute into each of the other three tanks. From tank 2, water flows at the rate of 25 litres per minuteinto each of the other three tanks. Similarly, water from tanks 3 and 4 flows at the rate of 15 litres per minute and 30 litres per minute into each of the other three tanks.Q. Which tank empties first and how much time it will take to get emptied?a)Tank 4 in 10 minutesb)Tank 2 in 20 minutesc)Tank 4 in 30 minuted)Tank 4 in 20 minutesCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of The tanks 1, 2, 3 and 4 with unlimited capacities contain 300 litres of water each. There are three outlets from each tank to the other three tanks.From tank 1, water flows at the rate of 20 litres per minute into each of the other three tanks. From tank 2, water flows at the rate of 25 litres per minuteinto each of the other three tanks. Similarly, water from tanks 3 and 4 flows at the rate of 15 litres per minute and 30 litres per minute into each of the other three tanks.Q. Which tank empties first and how much time it will take to get emptied?a)Tank 4 in 10 minutesb)Tank 2 in 20 minutesc)Tank 4 in 30 minuted)Tank 4 in 20 minutesCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The tanks 1, 2, 3 and 4 with unlimited capacities contain 300 litres of water each. There are three outlets from each tank to the other three tanks.From tank 1, water flows at the rate of 20 litres per minute into each of the other three tanks. From tank 2, water flows at the rate of 25 litres per minuteinto each of the other three tanks. Similarly, water from tanks 3 and 4 flows at the rate of 15 litres per minute and 30 litres per minute into each of the other three tanks.Q. Which tank empties first and how much time it will take to get emptied?a)Tank 4 in 10 minutesb)Tank 2 in 20 minutesc)Tank 4 in 30 minuted)Tank 4 in 20 minutesCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for The tanks 1, 2, 3 and 4 with unlimited capacities contain 300 litres of water each. There are three outlets from each tank to the other three tanks.From tank 1, water flows at the rate of 20 litres per minute into each of the other three tanks. From tank 2, water flows at the rate of 25 litres per minuteinto each of the other three tanks. Similarly, water from tanks 3 and 4 flows at the rate of 15 litres per minute and 30 litres per minute into each of the other three tanks.Q. Which tank empties first and how much time it will take to get emptied?a)Tank 4 in 10 minutesb)Tank 2 in 20 minutesc)Tank 4 in 30 minuted)Tank 4 in 20 minutesCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of The tanks 1, 2, 3 and 4 with unlimited capacities contain 300 litres of water each. There are three outlets from each tank to the other three tanks.From tank 1, water flows at the rate of 20 litres per minute into each of the other three tanks. From tank 2, water flows at the rate of 25 litres per minuteinto each of the other three tanks. Similarly, water from tanks 3 and 4 flows at the rate of 15 litres per minute and 30 litres per minute into each of the other three tanks.Q. Which tank empties first and how much time it will take to get emptied?a)Tank 4 in 10 minutesb)Tank 2 in 20 minutesc)Tank 4 in 30 minuted)Tank 4 in 20 minutesCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The tanks 1, 2, 3 and 4 with unlimited capacities contain 300 litres of water each. There are three outlets from each tank to the other three tanks.From tank 1, water flows at the rate of 20 litres per minute into each of the other three tanks. From tank 2, water flows at the rate of 25 litres per minuteinto each of the other three tanks. Similarly, water from tanks 3 and 4 flows at the rate of 15 litres per minute and 30 litres per minute into each of the other three tanks.Q. Which tank empties first and how much time it will take to get emptied?a)Tank 4 in 10 minutesb)Tank 2 in 20 minutesc)Tank 4 in 30 minuted)Tank 4 in 20 minutesCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup