SSC CGL Exam > SSC CGL Questions > Pipe P can fill a tank in 120 minutes. If the...
Start Learning for Free
Pipe P can fill a tank in 120 minutes. If the efficiency of Pipe Q is half the efficiency of Pipe P, in how many minutes can both the pipes fill the tank together?
- a)50
- b)60
- c)80
- d)100
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Pipe P can fill a tank in 120 minutes. If the efficiency of Pipe Q is ...
Hence, Option C is correct.
Free Test
FREE
| Start Free Test |
Community Answer
Pipe P can fill a tank in 120 minutes. If the efficiency of Pipe Q is ...
Understanding Pipe P's Efficiency
- Pipe P can fill a tank in 120 minutes.
- Efficiency of Pipe P = 1 tank / 120 minutes = 1/120 tanks per minute.
Calculating Pipe Q's Efficiency
- The efficiency of Pipe Q is half that of Pipe P.
- Therefore, efficiency of Pipe Q = (1/2) * (1/120) = 1/240 tanks per minute.
Combined Efficiency of Pipes P and Q
- Combined efficiency = Efficiency of Pipe P + Efficiency of Pipe Q
- Combined efficiency = (1/120) + (1/240)
Finding a Common Denominator
- The least common multiple of 120 and 240 is 240.
- Convert the efficiencies:
- (1/120) = 2/240
- (1/240) = 1/240
- So, combined efficiency = (2/240) + (1/240) = 3/240 = 1/80 tanks per minute.
Time Taken to Fill the Tank Together
- If both pipes together fill at a rate of 1/80 tanks per minute, the time taken to fill one tank is the reciprocal of the combined efficiency.
- Time = 1 / (1/80) = 80 minutes.
Conclusion
- Therefore, both pipes P and Q can fill the tank together in 80 minutes.
- The correct answer is option C.
- Pipe P can fill a tank in 120 minutes.
- Efficiency of Pipe P = 1 tank / 120 minutes = 1/120 tanks per minute.
Calculating Pipe Q's Efficiency
- The efficiency of Pipe Q is half that of Pipe P.
- Therefore, efficiency of Pipe Q = (1/2) * (1/120) = 1/240 tanks per minute.
Combined Efficiency of Pipes P and Q
- Combined efficiency = Efficiency of Pipe P + Efficiency of Pipe Q
- Combined efficiency = (1/120) + (1/240)
Finding a Common Denominator
- The least common multiple of 120 and 240 is 240.
- Convert the efficiencies:
- (1/120) = 2/240
- (1/240) = 1/240
- So, combined efficiency = (2/240) + (1/240) = 3/240 = 1/80 tanks per minute.
Time Taken to Fill the Tank Together
- If both pipes together fill at a rate of 1/80 tanks per minute, the time taken to fill one tank is the reciprocal of the combined efficiency.
- Time = 1 / (1/80) = 80 minutes.
Conclusion
- Therefore, both pipes P and Q can fill the tank together in 80 minutes.
- The correct answer is option C.
Attention SSC CGL Students!
To make sure you are not studying endlessly, EduRev has designed SSC CGL study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in SSC CGL.
|
Explore Courses for SSC CGL exam
|
|
Top Courses for SSC CGLView all
Pipe P can fill a tank in 120 minutes. If the efficiency of Pipe Q is half the efficiency of Pipe P, in how many minutes can both the pipes fill the tank together?a)50b)60c)80d)100Correct answer is option 'C'. Can you explain this answer?
Question Description
Pipe P can fill a tank in 120 minutes. If the efficiency of Pipe Q is half the efficiency of Pipe P, in how many minutes can both the pipes fill the tank together?a)50b)60c)80d)100Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Pipe P can fill a tank in 120 minutes. If the efficiency of Pipe Q is half the efficiency of Pipe P, in how many minutes can both the pipes fill the tank together?a)50b)60c)80d)100Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pipe P can fill a tank in 120 minutes. If the efficiency of Pipe Q is half the efficiency of Pipe P, in how many minutes can both the pipes fill the tank together?a)50b)60c)80d)100Correct answer is option 'C'. Can you explain this answer?.
Pipe P can fill a tank in 120 minutes. If the efficiency of Pipe Q is half the efficiency of Pipe P, in how many minutes can both the pipes fill the tank together?a)50b)60c)80d)100Correct answer is option 'C'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Pipe P can fill a tank in 120 minutes. If the efficiency of Pipe Q is half the efficiency of Pipe P, in how many minutes can both the pipes fill the tank together?a)50b)60c)80d)100Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pipe P can fill a tank in 120 minutes. If the efficiency of Pipe Q is half the efficiency of Pipe P, in how many minutes can both the pipes fill the tank together?a)50b)60c)80d)100Correct answer is option 'C'. Can you explain this answer?.
Solutions for Pipe P can fill a tank in 120 minutes. If the efficiency of Pipe Q is half the efficiency of Pipe P, in how many minutes can both the pipes fill the tank together?a)50b)60c)80d)100Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL.
Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
Here you can find the meaning of Pipe P can fill a tank in 120 minutes. If the efficiency of Pipe Q is half the efficiency of Pipe P, in how many minutes can both the pipes fill the tank together?a)50b)60c)80d)100Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Pipe P can fill a tank in 120 minutes. If the efficiency of Pipe Q is half the efficiency of Pipe P, in how many minutes can both the pipes fill the tank together?a)50b)60c)80d)100Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Pipe P can fill a tank in 120 minutes. If the efficiency of Pipe Q is half the efficiency of Pipe P, in how many minutes can both the pipes fill the tank together?a)50b)60c)80d)100Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Pipe P can fill a tank in 120 minutes. If the efficiency of Pipe Q is half the efficiency of Pipe P, in how many minutes can both the pipes fill the tank together?a)50b)60c)80d)100Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Pipe P can fill a tank in 120 minutes. If the efficiency of Pipe Q is half the efficiency of Pipe P, in how many minutes can both the pipes fill the tank together?a)50b)60c)80d)100Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
|
|
Explore Courses for SSC CGL 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