CAT Exam > CAT Questions > Pipe A fills a tank of 700 litres capacity at...
Start Learning for Free
Pipe A fills a tank of 700 litres capacity at the rate of 40 litres/minute. Another pipe B fills the same tank at a rate of 30 litres/minute.Pipe C, which is at the bottom of the tank drains the tank at the rate of 20 litres/minute. Pipe A is kept open for a minute and then closed. Pipe B is kept open for a minute and then closed. Pipe C is kept open for a minute and then closed and the whole cycle is repeated. What minimum time will it take for the given tank to overflow?
- a)48 minutes 30 sec
- b)39 minutes 20 sec
- c)14 minutes 40 sec
- d)40 minutes 20 sec
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Pipe A fills a tank of 700 litres capacity at the rate of 40 litres/mi...
After 1 minute, 40 litres is filled.
After 2 minutes, another 30 litres is filled (total 70 litres).
After 3 minutes, 20 litres is emptied.
Therefore, at the end of 3 minutes, 50 litres is filled.
50 litres is filled in 3 minutes.
Pipe A fills the tank at the rate of 40 litres a minute.
Pipe B at the rate of 30 litres a minute and Pipe C drains the tank at the rate of 20 litres a minute.
If each of them is kept open for a minute in the order A - B - C, the tank will have 50 litres of water at the end of 3 minutes. After 13 such cycles, the tank will have 13 × 50 = 650 litres of water.
It will take 13 × 3 = 39 minutes for the 13 cycles to be over. At the end of the 39th minute, Pipe C will be closed and Pipe A will be opened. It will add 40 litres to the tank. Therefore, at the end of the 40th minute, the tank will have 650 + 40 = 690 litres of water.
After 2 minutes, another 30 litres is filled (total 70 litres).
After 3 minutes, 20 litres is emptied.
Therefore, at the end of 3 minutes, 50 litres is filled.
50 litres is filled in 3 minutes.
Pipe A fills the tank at the rate of 40 litres a minute.
Pipe B at the rate of 30 litres a minute and Pipe C drains the tank at the rate of 20 litres a minute.
If each of them is kept open for a minute in the order A - B - C, the tank will have 50 litres of water at the end of 3 minutes. After 13 such cycles, the tank will have 13 × 50 = 650 litres of water.
It will take 13 × 3 = 39 minutes for the 13 cycles to be over. At the end of the 39th minute, Pipe C will be closed and Pipe A will be opened. It will add 40 litres to the tank. Therefore, at the end of the 40th minute, the tank will have 650 + 40 = 690 litres of water.
Free Test
FREE
| Start Free Test |
Community Answer
Pipe A fills a tank of 700 litres capacity at the rate of 40 litres/mi...
To find the minimum time it takes for the tank to overflow, we need to determine the rate at which the tank fills and the rate at which it drains. Let's break down the problem step by step:
Step 1: Calculate the net filling rate
Pipe A fills the tank at a rate of 40 litres/minute, while Pipe B fills it at a rate of 30 litres/minute. Since both pipes are open for a minute each in a cycle, the net filling rate can be calculated as follows:
Net filling rate = Rate of Pipe A + Rate of Pipe B
Net filling rate = 40 litres/minute + 30 litres/minute
Net filling rate = 70 litres/minute
Step 2: Calculate the draining rate
Pipe C drains the tank at a rate of 20 litres/minute. Since Pipe C is open for a minute in each cycle, the draining rate remains constant at 20 litres/minute.
Step 3: Calculate the effective filling rate
The effective filling rate is the net filling rate minus the draining rate. This accounts for the fact that while the tank is being filled, it is also being drained simultaneously.
Effective filling rate = Net filling rate - Draining rate
Effective filling rate = 70 litres/minute - 20 litres/minute
Effective filling rate = 50 litres/minute
Step 4: Calculate the time taken to fill the tank to capacity
Now that we know the effective filling rate, we can calculate the time it takes for the tank to reach its capacity of 700 litres.
Time taken = Capacity / Effective filling rate
Time taken = 700 litres / 50 litres/minute
Time taken = 14 minutes
Step 5: Calculate the time taken for the tank to overflow
Since the question asks for the minimum time it takes for the tank to overflow, we need to consider that the tank fills and drains in a cycle. The tank will overflow when the filling time in a cycle exceeds the draining time.
In a cycle:
Filling time = Time taken = 14 minutes
Draining time = 1 minute (as Pipe C is open for a minute)
Therefore, the minimum time it takes for the tank to overflow is the filling time of a cycle, which is 14 minutes.
Hence, the correct answer is option D) 40 minutes 20 seconds.
Step 1: Calculate the net filling rate
Pipe A fills the tank at a rate of 40 litres/minute, while Pipe B fills it at a rate of 30 litres/minute. Since both pipes are open for a minute each in a cycle, the net filling rate can be calculated as follows:
Net filling rate = Rate of Pipe A + Rate of Pipe B
Net filling rate = 40 litres/minute + 30 litres/minute
Net filling rate = 70 litres/minute
Step 2: Calculate the draining rate
Pipe C drains the tank at a rate of 20 litres/minute. Since Pipe C is open for a minute in each cycle, the draining rate remains constant at 20 litres/minute.
Step 3: Calculate the effective filling rate
The effective filling rate is the net filling rate minus the draining rate. This accounts for the fact that while the tank is being filled, it is also being drained simultaneously.
Effective filling rate = Net filling rate - Draining rate
Effective filling rate = 70 litres/minute - 20 litres/minute
Effective filling rate = 50 litres/minute
Step 4: Calculate the time taken to fill the tank to capacity
Now that we know the effective filling rate, we can calculate the time it takes for the tank to reach its capacity of 700 litres.
Time taken = Capacity / Effective filling rate
Time taken = 700 litres / 50 litres/minute
Time taken = 14 minutes
Step 5: Calculate the time taken for the tank to overflow
Since the question asks for the minimum time it takes for the tank to overflow, we need to consider that the tank fills and drains in a cycle. The tank will overflow when the filling time in a cycle exceeds the draining time.
In a cycle:
Filling time = Time taken = 14 minutes
Draining time = 1 minute (as Pipe C is open for a minute)
Therefore, the minimum time it takes for the tank to overflow is the filling time of a cycle, which is 14 minutes.
Hence, the correct answer is option D) 40 minutes 20 seconds.
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
Pipe A fills a tank of 700 litres capacity at the rate of 40 litres/minute. Another pipe B fills the same tank at a rate of 30 litres/minute.Pipe C, which is at the bottom of the tank drains the tank at the rate of 20 litres/minute. Pipe A is kept open for a minute and then closed. Pipe B is kept open for a minute and then closed. Pipe C is kept open for a minute and then closed and the whole cycle is repeated. What minimum time will it take for the given tank to overflow?a)48 minutes 30 secb)39 minutes 20 secc)14 minutes 40 secd)40 minutes 20 secCorrect answer is option 'D'. Can you explain this answer?
Question Description
Pipe A fills a tank of 700 litres capacity at the rate of 40 litres/minute. Another pipe B fills the same tank at a rate of 30 litres/minute.Pipe C, which is at the bottom of the tank drains the tank at the rate of 20 litres/minute. Pipe A is kept open for a minute and then closed. Pipe B is kept open for a minute and then closed. Pipe C is kept open for a minute and then closed and the whole cycle is repeated. What minimum time will it take for the given tank to overflow?a)48 minutes 30 secb)39 minutes 20 secc)14 minutes 40 secd)40 minutes 20 secCorrect 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 Pipe A fills a tank of 700 litres capacity at the rate of 40 litres/minute. Another pipe B fills the same tank at a rate of 30 litres/minute.Pipe C, which is at the bottom of the tank drains the tank at the rate of 20 litres/minute. Pipe A is kept open for a minute and then closed. Pipe B is kept open for a minute and then closed. Pipe C is kept open for a minute and then closed and the whole cycle is repeated. What minimum time will it take for the given tank to overflow?a)48 minutes 30 secb)39 minutes 20 secc)14 minutes 40 secd)40 minutes 20 secCorrect 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 Pipe A fills a tank of 700 litres capacity at the rate of 40 litres/minute. Another pipe B fills the same tank at a rate of 30 litres/minute.Pipe C, which is at the bottom of the tank drains the tank at the rate of 20 litres/minute. Pipe A is kept open for a minute and then closed. Pipe B is kept open for a minute and then closed. Pipe C is kept open for a minute and then closed and the whole cycle is repeated. What minimum time will it take for the given tank to overflow?a)48 minutes 30 secb)39 minutes 20 secc)14 minutes 40 secd)40 minutes 20 secCorrect answer is option 'D'. Can you explain this answer?.
Pipe A fills a tank of 700 litres capacity at the rate of 40 litres/minute. Another pipe B fills the same tank at a rate of 30 litres/minute.Pipe C, which is at the bottom of the tank drains the tank at the rate of 20 litres/minute. Pipe A is kept open for a minute and then closed. Pipe B is kept open for a minute and then closed. Pipe C is kept open for a minute and then closed and the whole cycle is repeated. What minimum time will it take for the given tank to overflow?a)48 minutes 30 secb)39 minutes 20 secc)14 minutes 40 secd)40 minutes 20 secCorrect 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 Pipe A fills a tank of 700 litres capacity at the rate of 40 litres/minute. Another pipe B fills the same tank at a rate of 30 litres/minute.Pipe C, which is at the bottom of the tank drains the tank at the rate of 20 litres/minute. Pipe A is kept open for a minute and then closed. Pipe B is kept open for a minute and then closed. Pipe C is kept open for a minute and then closed and the whole cycle is repeated. What minimum time will it take for the given tank to overflow?a)48 minutes 30 secb)39 minutes 20 secc)14 minutes 40 secd)40 minutes 20 secCorrect 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 Pipe A fills a tank of 700 litres capacity at the rate of 40 litres/minute. Another pipe B fills the same tank at a rate of 30 litres/minute.Pipe C, which is at the bottom of the tank drains the tank at the rate of 20 litres/minute. Pipe A is kept open for a minute and then closed. Pipe B is kept open for a minute and then closed. Pipe C is kept open for a minute and then closed and the whole cycle is repeated. What minimum time will it take for the given tank to overflow?a)48 minutes 30 secb)39 minutes 20 secc)14 minutes 40 secd)40 minutes 20 secCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Pipe A fills a tank of 700 litres capacity at the rate of 40 litres/minute. Another pipe B fills the same tank at a rate of 30 litres/minute.Pipe C, which is at the bottom of the tank drains the tank at the rate of 20 litres/minute. Pipe A is kept open for a minute and then closed. Pipe B is kept open for a minute and then closed. Pipe C is kept open for a minute and then closed and the whole cycle is repeated. What minimum time will it take for the given tank to overflow?a)48 minutes 30 secb)39 minutes 20 secc)14 minutes 40 secd)40 minutes 20 secCorrect 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 Pipe A fills a tank of 700 litres capacity at the rate of 40 litres/minute. Another pipe B fills the same tank at a rate of 30 litres/minute.Pipe C, which is at the bottom of the tank drains the tank at the rate of 20 litres/minute. Pipe A is kept open for a minute and then closed. Pipe B is kept open for a minute and then closed. Pipe C is kept open for a minute and then closed and the whole cycle is repeated. What minimum time will it take for the given tank to overflow?a)48 minutes 30 secb)39 minutes 20 secc)14 minutes 40 secd)40 minutes 20 secCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Pipe A fills a tank of 700 litres capacity at the rate of 40 litres/minute. Another pipe B fills the same tank at a rate of 30 litres/minute.Pipe C, which is at the bottom of the tank drains the tank at the rate of 20 litres/minute. Pipe A is kept open for a minute and then closed. Pipe B is kept open for a minute and then closed. Pipe C is kept open for a minute and then closed and the whole cycle is repeated. What minimum time will it take for the given tank to overflow?a)48 minutes 30 secb)39 minutes 20 secc)14 minutes 40 secd)40 minutes 20 secCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Pipe A fills a tank of 700 litres capacity at the rate of 40 litres/minute. Another pipe B fills the same tank at a rate of 30 litres/minute.Pipe C, which is at the bottom of the tank drains the tank at the rate of 20 litres/minute. Pipe A is kept open for a minute and then closed. Pipe B is kept open for a minute and then closed. Pipe C is kept open for a minute and then closed and the whole cycle is repeated. What minimum time will it take for the given tank to overflow?a)48 minutes 30 secb)39 minutes 20 secc)14 minutes 40 secd)40 minutes 20 secCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Pipe A fills a tank of 700 litres capacity at the rate of 40 litres/minute. Another pipe B fills the same tank at a rate of 30 litres/minute.Pipe C, which is at the bottom of the tank drains the tank at the rate of 20 litres/minute. Pipe A is kept open for a minute and then closed. Pipe B is kept open for a minute and then closed. Pipe C is kept open for a minute and then closed and the whole cycle is repeated. What minimum time will it take for the given tank to overflow?a)48 minutes 30 secb)39 minutes 20 secc)14 minutes 40 secd)40 minutes 20 secCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Pipe A fills a tank of 700 litres capacity at the rate of 40 litres/minute. Another pipe B fills the same tank at a rate of 30 litres/minute.Pipe C, which is at the bottom of the tank drains the tank at the rate of 20 litres/minute. Pipe A is kept open for a minute and then closed. Pipe B is kept open for a minute and then closed. Pipe C is kept open for a minute and then closed and the whole cycle is repeated. What minimum time will it take for the given tank to overflow?a)48 minutes 30 secb)39 minutes 20 secc)14 minutes 40 secd)40 minutes 20 secCorrect 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup