SSC CGL Exam > SSC CGL Questions > Three taps A, B, C can fill an overhead tank ... Start Learning for Free
Three taps A, B, C can fill an overhead tank in 4, 6 and 12 hours respectively. How long would the three taps take to fill the tank if all of them are opened together ?
- a)5 hrs.
- b)2 hrs.
- c)4 hrs.
- d)3 hrs.
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Three taps A, B, C can fill an overhead tank in 4, 6 and 12 hours resp...
Introduction
To determine how long it takes for taps A, B, and C to fill the overhead tank when opened together, we need to calculate their individual rates of filling and then combine them.
Individual Rates of Filling
- Tap A fills the tank in 4 hours.
- Rate of A = 1/4 tank per hour.
- Tap B fills the tank in 6 hours.
- Rate of B = 1/6 tank per hour.
- Tap C fills the tank in 12 hours.
- Rate of C = 1/12 tank per hour.
Combined Rate of Filling
To find the combined rate when all taps are opened together, we add their rates:
- Combined rate = Rate of A + Rate of B + Rate of C
- Combined rate = (1/4) + (1/6) + (1/12)
Finding a Common Denominator
- The least common multiple (LCM) of 4, 6, and 12 is 12.
- Converting each rate:
- (1/4) = 3/12
- (1/6) = 2/12
- (1/12) = 1/12
Now, we add the rates:
- Combined rate = (3/12) + (2/12) + (1/12) = (6/12) = 1/2 tank per hour.
Time to Fill the Tank Together
If the combined rate is 1/2 tank per hour, then the time taken to fill 1 tank is the reciprocal of the rate:
- Time = 1 / (1/2) = 2 hours.
Conclusion
When all three taps A, B, and C are opened together, they will fill the tank in 2 hours. Thus, the correct answer is option B.
To determine how long it takes for taps A, B, and C to fill the overhead tank when opened together, we need to calculate their individual rates of filling and then combine them.
Individual Rates of Filling
- Tap A fills the tank in 4 hours.
- Rate of A = 1/4 tank per hour.
- Tap B fills the tank in 6 hours.
- Rate of B = 1/6 tank per hour.
- Tap C fills the tank in 12 hours.
- Rate of C = 1/12 tank per hour.
Combined Rate of Filling
To find the combined rate when all taps are opened together, we add their rates:
- Combined rate = Rate of A + Rate of B + Rate of C
- Combined rate = (1/4) + (1/6) + (1/12)
Finding a Common Denominator
- The least common multiple (LCM) of 4, 6, and 12 is 12.
- Converting each rate:
- (1/4) = 3/12
- (1/6) = 2/12
- (1/12) = 1/12
Now, we add the rates:
- Combined rate = (3/12) + (2/12) + (1/12) = (6/12) = 1/2 tank per hour.
Time to Fill the Tank Together
If the combined rate is 1/2 tank per hour, then the time taken to fill 1 tank is the reciprocal of the rate:
- Time = 1 / (1/2) = 2 hours.
Conclusion
When all three taps A, B, and C are opened together, they will fill the tank in 2 hours. Thus, the correct answer is option B.
Free Test
FREE
| Start Free Test |
Community Answer
Three taps A, B, C can fill an overhead tank in 4, 6 and 12 hours resp...
Using Rule 2,
Part of the tank filled by all three taps in an hour
Hence, the tank will be filled in 2 hours.
Hence, the tank will be filled in 2 hours.
 | Explore Courses for SSC CGL exam |  |
Top Courses for SSC CGLView all
Top Courses for SSC CGL
Question Description
Three taps A, B, C can fill an overhead tank in 4, 6 and 12 hours respectively. How long would the three taps take to fill the tank if all of them are opened together ?a)5 hrs.b)2 hrs.c)4 hrs.d)3 hrs.Correct answer is option 'B'. Can you explain this answer? for SSC CGL 2026 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Three taps A, B, C can fill an overhead tank in 4, 6 and 12 hours respectively. How long would the three taps take to fill the tank if all of them are opened together ?a)5 hrs.b)2 hrs.c)4 hrs.d)3 hrs.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three taps A, B, C can fill an overhead tank in 4, 6 and 12 hours respectively. How long would the three taps take to fill the tank if all of them are opened together ?a)5 hrs.b)2 hrs.c)4 hrs.d)3 hrs.Correct answer is option 'B'. Can you explain this answer?.
Three taps A, B, C can fill an overhead tank in 4, 6 and 12 hours respectively. How long would the three taps take to fill the tank if all of them are opened together ?a)5 hrs.b)2 hrs.c)4 hrs.d)3 hrs.Correct answer is option 'B'. Can you explain this answer? for SSC CGL 2026 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about Three taps A, B, C can fill an overhead tank in 4, 6 and 12 hours respectively. How long would the three taps take to fill the tank if all of them are opened together ?a)5 hrs.b)2 hrs.c)4 hrs.d)3 hrs.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three taps A, B, C can fill an overhead tank in 4, 6 and 12 hours respectively. How long would the three taps take to fill the tank if all of them are opened together ?a)5 hrs.b)2 hrs.c)4 hrs.d)3 hrs.Correct answer is option 'B'. Can you explain this answer?.
Solutions for Three taps A, B, C can fill an overhead tank in 4, 6 and 12 hours respectively. How long would the three taps take to fill the tank if all of them are opened together ?a)5 hrs.b)2 hrs.c)4 hrs.d)3 hrs.Correct answer is option 'B'. 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 Three taps A, B, C can fill an overhead tank in 4, 6 and 12 hours respectively. How long would the three taps take to fill the tank if all of them are opened together ?a)5 hrs.b)2 hrs.c)4 hrs.d)3 hrs.Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Three taps A, B, C can fill an overhead tank in 4, 6 and 12 hours respectively. How long would the three taps take to fill the tank if all of them are opened together ?a)5 hrs.b)2 hrs.c)4 hrs.d)3 hrs.Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Three taps A, B, C can fill an overhead tank in 4, 6 and 12 hours respectively. How long would the three taps take to fill the tank if all of them are opened together ?a)5 hrs.b)2 hrs.c)4 hrs.d)3 hrs.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Three taps A, B, C can fill an overhead tank in 4, 6 and 12 hours respectively. How long would the three taps take to fill the tank if all of them are opened together ?a)5 hrs.b)2 hrs.c)4 hrs.d)3 hrs.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Three taps A, B, C can fill an overhead tank in 4, 6 and 12 hours respectively. How long would the three taps take to fill the tank if all of them are opened together ?a)5 hrs.b)2 hrs.c)4 hrs.d)3 hrs.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
| Explore Courses for SSC CGL exam | |
Top Courses for SSC CGL
Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
