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Three pipe P, Q and R can fill a tank in 12 minutes, 18 minutes and 24 minutes respectively. The pipe R is closed 12 minutes before the tank is filled. In what time the tank is full?
- a)8.(5/13) hrs
- b)8.(4/13) hrs
- c)7.(4/13) hrs
- d)8.(6/13) hrs
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Three pipe P, Q and R can fill a tank in 12 minutes, 18 minutes and 24...
Let T is the time taken by the pipes to fill the tank
(1/12 + 1/18 + 1/24)*(T – 12) + (1/12 + 1/18)*12 = 1
We will get T = 108/13 = 8.(4/13) hrs
(1/12 + 1/18 + 1/24)*(T – 12) + (1/12 + 1/18)*12 = 1
We will get T = 108/13 = 8.(4/13) hrs
Most Upvoted Answer
Three pipe P, Q and R can fill a tank in 12 minutes, 18 minutes and 24...
Let's find the rate of each pipe first. The rate of a pipe is the amount of work it can do in 1 minute.
Pipe P can fill the tank in 12 minutes, so its rate is 1/12 tank per minute.
Pipe Q can fill the tank in 18 minutes, so its rate is 1/18 tank per minute.
Pipe R can fill the tank in 24 minutes, so its rate is 1/24 tank per minute.
Now, let's assume that the tank has a capacity of 1 unit.
The combined rate of pipes P, Q, and R is the sum of their individual rates:
1/12 + 1/18 + 1/24 = 13/72 tank per minute.
To find the time it takes to fill the tank, we need to find the reciprocal of the combined rate:
72/13 minutes.
However, the pipe R is closed 12 minutes before the tank is filled. So, we need to subtract 12 minutes from the total time:
72/13 - 12 = 72/13 - (12 * 13/13) = 72/13 - 156/13 = -84/13.
The negative sign indicates that the tank is already filled before the 12 minutes are up. Therefore, we need to consider the positive value:
84/13 minutes.
To convert this time into hours, we divide by 60:
84/13 ÷ 60 = 8.(4/13) hours.
Therefore, the tank is full in 8.(4/13) hours, which corresponds to option B.
Pipe P can fill the tank in 12 minutes, so its rate is 1/12 tank per minute.
Pipe Q can fill the tank in 18 minutes, so its rate is 1/18 tank per minute.
Pipe R can fill the tank in 24 minutes, so its rate is 1/24 tank per minute.
Now, let's assume that the tank has a capacity of 1 unit.
The combined rate of pipes P, Q, and R is the sum of their individual rates:
1/12 + 1/18 + 1/24 = 13/72 tank per minute.
To find the time it takes to fill the tank, we need to find the reciprocal of the combined rate:
72/13 minutes.
However, the pipe R is closed 12 minutes before the tank is filled. So, we need to subtract 12 minutes from the total time:
72/13 - 12 = 72/13 - (12 * 13/13) = 72/13 - 156/13 = -84/13.
The negative sign indicates that the tank is already filled before the 12 minutes are up. Therefore, we need to consider the positive value:
84/13 minutes.
To convert this time into hours, we divide by 60:
84/13 ÷ 60 = 8.(4/13) hours.
Therefore, the tank is full in 8.(4/13) hours, which corresponds to option B.
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Community Answer
Three pipe P, Q and R can fill a tank in 12 minutes, 18 minutes and 24...
Let T is the time taken by the pipes to fill the tank
(1/12 + 1/18 + 1/24)*(T – 12) + (1/12 + 1/18)*12 = 1
We will get T = 108/13 = 8.(4/13) hrs
(1/12 + 1/18 + 1/24)*(T – 12) + (1/12 + 1/18)*12 = 1
We will get T = 108/13 = 8.(4/13) hrs
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Three pipe P, Q and R can fill a tank in 12 minutes, 18 minutes and 24 minutes respectively. The pipe R is closed 12 minutes before the tank is filled. In what time the tank is full?a)8.(5/13) hrsb)8.(4/13) hrsc)7.(4/13) hrsd)8.(6/13) hrse)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Three pipe P, Q and R can fill a tank in 12 minutes, 18 minutes and 24 minutes respectively. The pipe R is closed 12 minutes before the tank is filled. In what time the tank is full?a)8.(5/13) hrsb)8.(4/13) hrsc)7.(4/13) hrsd)8.(6/13) hrse)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three pipe P, Q and R can fill a tank in 12 minutes, 18 minutes and 24 minutes respectively. The pipe R is closed 12 minutes before the tank is filled. In what time the tank is full?a)8.(5/13) hrsb)8.(4/13) hrsc)7.(4/13) hrsd)8.(6/13) hrse)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Three pipe P, Q and R can fill a tank in 12 minutes, 18 minutes and 24 minutes respectively. The pipe R is closed 12 minutes before the tank is filled. In what time the tank is full?a)8.(5/13) hrsb)8.(4/13) hrsc)7.(4/13) hrsd)8.(6/13) hrse)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Three pipe P, Q and R can fill a tank in 12 minutes, 18 minutes and 24 minutes respectively. The pipe R is closed 12 minutes before the tank is filled. In what time the tank is full?a)8.(5/13) hrsb)8.(4/13) hrsc)7.(4/13) hrsd)8.(6/13) hrse)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three pipe P, Q and R can fill a tank in 12 minutes, 18 minutes and 24 minutes respectively. The pipe R is closed 12 minutes before the tank is filled. In what time the tank is full?a)8.(5/13) hrsb)8.(4/13) hrsc)7.(4/13) hrsd)8.(6/13) hrse)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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