Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is: a)10b)12c)14d)16Correct answer is option 'C'. Can you explain this answer?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

LR Exam > LR Questions > Three pipes A, B and C can fill a tank in 6 h...

Join the Discussion on the App

Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is:

a)
10
b)
12
c)
14
d)
16

Correct answer is option 'C'. Can you explain this answer?

FREE This question is part of

Test: Pipes And Cistern- 1

Attempt Test

Attempt this Test

Verified Answer

Three pipes A, B and C can fill a tank in 6 hours. After working at it...

View all questions of this test

Most Upvoted Answer

Three pipes A, B and C can fill a tank in 6 hours. After working at it...

To solve this problem, we can assign variables to represent the rates at which each pipe can fill the tank. Let's say the rate at which pipe A fills the tank is A tanks per hour, the rate at which pipe B fills the tank is B tanks per hour, and the rate at which pipe C fills the tank is C tanks per hour.

According to the given information, we know that all three pipes working together can fill the tank in 6 hours. This means that their combined rate is 1 tank per 6 hours:

(A + B + C) * 6 = 1

After working together for 2 hours, C is closed and A and B fill the remaining part of the tank in 7 hours. This means that the remaining part of the tank takes 7 hours to fill at the combined rate of A and B:

(A + B) * 7 = 1 - (2/6)
(A + B) * 7 = 1 - 1/3
(A + B) * 7 = 2/3

Now we have two equations:

(A + B + C) * 6 = 1
(A + B) * 7 = 2/3

We can solve these equations simultaneously to find the values of A, B, and C.

Solving the first equation, we get:

6A + 6B + 6C = 1
A + B + C = 1/6

Substituting this value in the second equation, we get:

(1/6) * 7 = 2/3
7/6 = 2/3
7 = 4

This is not possible, so there must be an error in the problem statement. It is not possible for the tank to be filled in 6 hours if the sum of the rates of A, B, and C is greater than 1.

Therefore, we cannot determine the number of hours taken by C alone to fill the tank based on the given information.

View all answers Start learning for free

< Previous Question Next Question >

Explore Courses for LR exam

Similar LR Doubts

A, B, C, D, E and F are six friends appearing for a Management entrance test. They applied together and were surprised to see that though they were all seated the same row, their hall ticket numbers were not in serial order. Further, the following information was available.(

View answer

Directions : Study the following information carefully and answer the questions given below.After a long time, for reunion and to give time to family, six Kapoor’s family members P, Q,R,S,T and U are shooting in a same city for upcoming movies. And they live in eight different floors of building. Two of the floors in the building are vacant. The lowermost floor of the building is numbered one, the one above that is numbered two, and so on till the topmost floor is numbered eight. Each one of them is shooting for different movies namely Tubelight, Rangoon Poorna, Firangi, Irada and Baadshaho (but not necessarily in the same order). There are two married couple in the family.The number of floors above U’s brother is same as the number of floors between S’s father and U’s wife. P’s son T lives at odd numbered floor above the floor numbered four. There are three people live between the two vacant floors. Only three floors between U’s wife and the one who is shooting for Firangi. The one who is shooting for Irada lives immediately above U. Only three floors are there between U and S’s grandfather. The one who is shooting for Baadshaho lives immediately above the one who is shooting for Tubelight. U’s mother lives immediately above the one who is shooting for Poorna. T is the son of P. The number of floors between T and the one who is shooting for Rangoon is one. The one who is shooting for Rangoon lives immediately below the one of the vacant floors. The floor number of the vacant floors are even-number. R is the wife of U. Only two floors are there between the one who is shooting for Baadshaho and Firangi. S’s grand mother lived immediately below the one of the vacant floors and not on the ground floor. Q neither lived on floor number 5, 2 nor floor number 3. The one who is shooting for Rangoon lives on one of the floors below the floor number 4. U is the uncle of S.Q.Which of the following pair represents vacant floors?

View answer

Q(11 – 15) Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read all the three statements and give answer: –What is the Ratio of male to female officers in the police force in town T?I. The number of female officers is 250 less than half the number of male officers.II. The number of female officers is 1/7 the number of male officers.

View answer

Two pipes can fill a tank in 25 and 30 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is

View answer

Directions : Study the following information carefully and answer the questions given below.After a long time, for reunion and to give time to family, six Kapoor’s family members P, Q,R,S,T and U are shooting in a same city for upcoming movies. And they live in eight different floors of building. Two of the floors in the building are vacant. The lowermost floor of the building is numbered one, the one above that is numbered two, and so on till the topmost floor is numbered eight. Each one of them is shooting for different movies namely Tubelight, Rangoon Poorna, Firangi, Irada and Baadshaho (but not necessarily in the same order). There are two married couple in the family.The number of floors above U’s brother is same as the number of floors between S’s father and U’s wife. P’s son T lives at odd numbered floor above the floor numbered four. There are three people live between the two vacant floors. Only three floors between U’s wife and the one who is shooting for Firangi. The one who is shooting for Irada lives immediately above U. Only three floors are there between U and S’s grandfather. The one who is shooting for Baadshaho lives immediately above the one who is shooting for Tubelight. U’s mother lives immediately above the one who is shooting for Poorna. T is the son of P. The number of floors between T and the one who is shooting for Rangoon is one. The one who is shooting for Rangoon lives immediately below the one of the vacant floors. The floor number of the vacant floors are even-number. R is the wife of U. Only two floors are there between the one who is shooting for Baadshaho and Firangi. S’s grand mother lived immediately below the one of the vacant floors and not on the ground floor. Q neither lived on floor number 5, 2 nor floor number 3. The one who is shooting for Rangoon lives on one of the floors below the floor number 4. U is the uncle of S.Q.How many floors are between U’s mother floor and S’s floor?

View answer

Share with a Friend

Answer this doubt

Question Description
Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is: a)10b)12c)14d)16Correct answer is option 'C'. Can you explain this answer? for LR 2024 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is: a)10b)12c)14d)16Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for LR 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is: a)10b)12c)14d)16Correct answer is option 'C'. Can you explain this answer?.

Solutions for Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is: a)10b)12c)14d)16Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for LR. Download more important topics, notes, lectures and mock test series for LR Exam by signing up for free.

Here you can find the meaning of Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is: a)10b)12c)14d)16Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is: a)10b)12c)14d)16Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is: a)10b)12c)14d)16Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is: a)10b)12c)14d)16Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours, C is closed and A and B can fill the remaining part in 7 hours. The number of hours taken by C alone to fill the tank is: a)10b)12c)14d)16Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice LR tests.

Explore Courses for LR exam