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One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:
- a)81 min.
- b)108 min.
- c)144 min.
- d)192 min.
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
One pipe can fill a tank three times as fast as another pipe. If toget...
Let the slower pipe alone fill the tank in x minutes.
Then, faster pipe will fill it in x/3 minutes.
1/x + 3/x = 1/36
⇒ 4/x = 1/36
⇒ x = 144 min.
Then, faster pipe will fill it in x/3 minutes.
1/x + 3/x = 1/36
⇒ 4/x = 1/36
⇒ x = 144 min.
Most Upvoted Answer
One pipe can fill a tank three times as fast as another pipe. If toget...
Given:
- One pipe fills the tank three times as fast as the other pipe.
- Together, the two pipes can fill the tank in 36 minutes.
To find:
- The time required for the slower pipe to fill the tank alone.
Solution:
Step 1: Assign Variables
- Let the slower pipe fill the tank in x minutes.
- Therefore, the faster pipe can fill the tank in x/3 minutes.
Step 2: Calculate the Individual Rates
- The rate of the slower pipe is 1/x tanks per minute.
- The rate of the faster pipe is 1/(x/3) = 3/x tanks per minute.
- The combined rate of both pipes is 1/36 tanks per minute.
Step 3: Set up the Equation
- The combined rate of both pipes is equal to the sum of their individual rates.
- 1/x + 3/x = 1/36
Step 4: Solve the Equation
- To solve the equation, we can multiply both sides by 36x to eliminate the denominators.
- 36 + 108 = x
- 144 = x
Step 5: Find the Answer
- The slower pipe alone will be able to fill the tank in 144 minutes.
Therefore, the correct answer is option C) 144 minutes.
- One pipe fills the tank three times as fast as the other pipe.
- Together, the two pipes can fill the tank in 36 minutes.
To find:
- The time required for the slower pipe to fill the tank alone.
Solution:
Step 1: Assign Variables
- Let the slower pipe fill the tank in x minutes.
- Therefore, the faster pipe can fill the tank in x/3 minutes.
Step 2: Calculate the Individual Rates
- The rate of the slower pipe is 1/x tanks per minute.
- The rate of the faster pipe is 1/(x/3) = 3/x tanks per minute.
- The combined rate of both pipes is 1/36 tanks per minute.
Step 3: Set up the Equation
- The combined rate of both pipes is equal to the sum of their individual rates.
- 1/x + 3/x = 1/36
Step 4: Solve the Equation
- To solve the equation, we can multiply both sides by 36x to eliminate the denominators.
- 36 + 108 = x
- 144 = x
Step 5: Find the Answer
- The slower pipe alone will be able to fill the tank in 144 minutes.
Therefore, the correct answer is option C) 144 minutes.
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One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:a)81 min.b)108 min.c)144 min.d)192 min.Correct answer is option 'C'. Can you explain this answer?
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One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:a)81 min.b)108 min.c)144 min.d)192 min.Correct answer is option 'C'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:a)81 min.b)108 min.c)144 min.d)192 min.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:a)81 min.b)108 min.c)144 min.d)192 min.Correct answer is option 'C'. Can you explain this answer?.
One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:a)81 min.b)108 min.c)144 min.d)192 min.Correct answer is option 'C'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:a)81 min.b)108 min.c)144 min.d)192 min.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:a)81 min.b)108 min.c)144 min.d)192 min.Correct answer is option 'C'. Can you explain this answer?.
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One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:a)81 min.b)108 min.c)144 min.d)192 min.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:a)81 min.b)108 min.c)144 min.d)192 min.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in:a)81 min.b)108 min.c)144 min.d)192 min.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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