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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?
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Three pipes A, B and C can fill a tank in 6 hours. After working at it...
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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.
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.
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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 2025 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 2025 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?.
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 2025 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 2025 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?.
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