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Two pipes A and B can separately fill a tank in 2 hours and 3 hours respectively. If both the pipes are opened simultaneously in the empty tank, then the tank will be filled in
- a)1 hour 20 minutes
- b)1 hour 12 minutes
- c)2 hours 30 minutes
- d)1 hour 15 minutes
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Two pipes A and B can separately fill a tank in 2 hours and 3 hours re...
Using Rule 1,
Part of tank filled by pipes A and B in 1 hour
Required time
= 1 hour 12 minutes
Part of tank filled by pipes A and B in 1 hour
Required time
= 1 hour 12 minutes
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Community Answer
Two pipes A and B can separately fill a tank in 2 hours and 3 hours re...
Understanding the Problem
To solve the problem of how long it takes for pipes A and B to fill the tank together, we first need to determine their rates of filling the tank.
Filling Rates of Pipes
- Pipe A: Fills the tank in 2 hours.
- Rate of A = 1 tank / 2 hours = 1/2 tank per hour.
- Pipe B: Fills the tank in 3 hours.
- Rate of B = 1 tank / 3 hours = 1/3 tank per hour.
Combined Filling Rate
To find the combined rate when both pipes are opened, we add their individual rates:
- Combined Rate = Rate of A + Rate of B
- Combined Rate = (1/2 + 1/3) tank per hour.
To add these fractions, we need a common denominator:
- The least common multiple of 2 and 3 is 6.
- Convert fractions:
- 1/2 = 3/6
- 1/3 = 2/6
Adding these gives:
- Combined Rate = 3/6 + 2/6 = 5/6 tank per hour.
Time to Fill the Tank
To find the time taken to fill 1 tank at this combined rate:
- Time = 1 tank / (5/6 tank per hour) = 6/5 hours.
To convert this into minutes:
- 6/5 hours = 1.2 hours = 1 hour and 12 minutes.
Conclusion
When pipes A and B are opened simultaneously, the tank will be filled in 1 hour and 12 minutes, which corresponds to option B.
To solve the problem of how long it takes for pipes A and B to fill the tank together, we first need to determine their rates of filling the tank.
Filling Rates of Pipes
- Pipe A: Fills the tank in 2 hours.
- Rate of A = 1 tank / 2 hours = 1/2 tank per hour.
- Pipe B: Fills the tank in 3 hours.
- Rate of B = 1 tank / 3 hours = 1/3 tank per hour.
Combined Filling Rate
To find the combined rate when both pipes are opened, we add their individual rates:
- Combined Rate = Rate of A + Rate of B
- Combined Rate = (1/2 + 1/3) tank per hour.
To add these fractions, we need a common denominator:
- The least common multiple of 2 and 3 is 6.
- Convert fractions:
- 1/2 = 3/6
- 1/3 = 2/6
Adding these gives:
- Combined Rate = 3/6 + 2/6 = 5/6 tank per hour.
Time to Fill the Tank
To find the time taken to fill 1 tank at this combined rate:
- Time = 1 tank / (5/6 tank per hour) = 6/5 hours.
To convert this into minutes:
- 6/5 hours = 1.2 hours = 1 hour and 12 minutes.
Conclusion
When pipes A and B are opened simultaneously, the tank will be filled in 1 hour and 12 minutes, which corresponds to option B.
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Question Description
Two pipes A and B can separately fill a tank in 2 hours and 3 hours respectively. If both the pipes are opened simultaneously in the empty tank, then the tank will be filled ina)1 hour 20 minutesb)1 hour 12 minutesc)2 hours 30 minutesd)1 hour 15 minutesCorrect 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 Two pipes A and B can separately fill a tank in 2 hours and 3 hours respectively. If both the pipes are opened simultaneously in the empty tank, then the tank will be filled ina)1 hour 20 minutesb)1 hour 12 minutesc)2 hours 30 minutesd)1 hour 15 minutesCorrect 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 Two pipes A and B can separately fill a tank in 2 hours and 3 hours respectively. If both the pipes are opened simultaneously in the empty tank, then the tank will be filled ina)1 hour 20 minutesb)1 hour 12 minutesc)2 hours 30 minutesd)1 hour 15 minutesCorrect answer is option 'B'. Can you explain this answer?.
Two pipes A and B can separately fill a tank in 2 hours and 3 hours respectively. If both the pipes are opened simultaneously in the empty tank, then the tank will be filled ina)1 hour 20 minutesb)1 hour 12 minutesc)2 hours 30 minutesd)1 hour 15 minutesCorrect 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 Two pipes A and B can separately fill a tank in 2 hours and 3 hours respectively. If both the pipes are opened simultaneously in the empty tank, then the tank will be filled ina)1 hour 20 minutesb)1 hour 12 minutesc)2 hours 30 minutesd)1 hour 15 minutesCorrect 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 Two pipes A and B can separately fill a tank in 2 hours and 3 hours respectively. If both the pipes are opened simultaneously in the empty tank, then the tank will be filled ina)1 hour 20 minutesb)1 hour 12 minutesc)2 hours 30 minutesd)1 hour 15 minutesCorrect answer is option 'B'. Can you explain this answer?.
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