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Two channels can fill a tank in 15 hours and 12 hours separately and a third pipe can purge it in 4 hours. In the event that the channels are opened all together at 8 am, 9 am and 11am separately, the tank will be exhausted at
  • a)
    11.40 am
  • b)
    12.40 pm
  • c)
    1.40 pm
  • d)
    2.40 pm
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two channels can fill a tank in 15 hours and 12 hours separately and a...
Let the tank be emptied in x hrs after 8 am.
Work done by A in x hrs, by B in (x-1) hrs and C in (x-3) hrs = 0
⇒x/15+ (x-1)/12- (x-3)/4 = 0 ⇒ 4x+5(x-1) - 15(x-3) = 0
⇒6x= 40 ⇒x= 20/3 hrs.
⇒x= 6 hrs. 40 min after 8 am
Hence the tank will be emptied at 14 hrs 40 min, i.e., 2:40 pm
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Most Upvoted Answer
Two channels can fill a tank in 15 hours and 12 hours separately and a...
Given Data:
- First channel fills the tank in 15 hours
- Second channel fills the tank in 12 hours
- Third pipe empties the tank in 4 hours

Approach:
- Find the filling rate per hour for each channel
- Calculate the net filling rate when all channels are opened simultaneously
- Determine the time taken to empty the tank

Calculations:
- Filling rate for first channel = 1/15 tank/hour
- Filling rate for second channel = 1/12 tank/hour
- Emptying rate for third pipe = 1/4 tank/hour
- Combined filling rate = 1/15 + 1/12 - 1/4 = 1/20 tank/hour
- Time taken to empty the tank with the combined rate = 1 / (1/20) = 20 hours
- Channels opened at 8 am, 9 am, and 11 am respectively
- Tank will be emptied at 8 am + 20 hours = 4 pm

Final Answer:
- The tank will be emptied at 4.00 pm (Option D)
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Two channels can fill a tank in 15 hours and 12 hours separately and a third pipe can purge it in 4 hours. In the event that the channels are opened all together at 8 am, 9 am and 11am separately, the tank will be exhausted ata)11.40 amb)12.40 pmc)1.40 pmd)2.40 pmCorrect answer is option 'D'. 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 Two channels can fill a tank in 15 hours and 12 hours separately and a third pipe can purge it in 4 hours. In the event that the channels are opened all together at 8 am, 9 am and 11am separately, the tank will be exhausted ata)11.40 amb)12.40 pmc)1.40 pmd)2.40 pmCorrect answer is option 'D'. 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 Two channels can fill a tank in 15 hours and 12 hours separately and a third pipe can purge it in 4 hours. In the event that the channels are opened all together at 8 am, 9 am and 11am separately, the tank will be exhausted ata)11.40 amb)12.40 pmc)1.40 pmd)2.40 pmCorrect answer is option 'D'. Can you explain this answer?.
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