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A tank is connected to three pipes – Pipe A, B and C. Pipe A can fill the tank in 6 hours, B can fill the tank in 8 hours and Pipe C can empty the full tank in 12 hours. How much time will it take to fill the tank completely if all three pipes are working together?
  • a)
    4 hours
  • b)
    4 hours 48 minutes
  • c)
    5 hours
  • d)
    5 hours 20 minutes
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A tank is connected to three pipes – Pipe A, B and C. Pipe A can...
Let the work be 24 units. Also let A, B and C be the rates of the three pipes (i.e. the amount of work done in 1 hour).
Using Rate = Work/Time we get:
A = 24/6 = 4 units/hr
B = 24/8 = 3 units/hr
C = -24/12 = -2 units/hr
Note that C has a negative rate since it empties the tank instead of filling it.
If all the pipes work together, then combined rate = 4 + 3 – 2 = 5 units/hr
Hence time taken by them = Work/Rate = 24/5 hours = 4 hrs and 4/5 x 60 min
i.e. 4 hrs and 48 min
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Most Upvoted Answer
A tank is connected to three pipes – Pipe A, B and C. Pipe A can...
A tank is connected to three pipes, Pipe A, Pipe B, and Pipe C. Each pipe has a different flow rate, and the tank has a capacity of 1000 liters.

Pipe A has a flow rate of 50 liters per minute, Pipe B has a flow rate of 75 liters per minute, and Pipe C has a flow rate of 100 liters per minute.

If all three pipes are open, what is the total flow rate into the tank?

To find the total flow rate, we need to add up the flow rates of each pipe.

Flow rate of Pipe A: 50 liters per minute
Flow rate of Pipe B: 75 liters per minute
Flow rate of Pipe C: 100 liters per minute

Total flow rate = Flow rate of Pipe A + Flow rate of Pipe B + Flow rate of Pipe C
Total flow rate = 50 + 75 + 100 = 225 liters per minute

Therefore, the total flow rate into the tank when all three pipes are open is 225 liters per minute.
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Community Answer
A tank is connected to three pipes – Pipe A, B and C. Pipe A can...
Work done by pipe A = 1/6
work done by pipe B = 1/8
work done by pipe C = -1/12
t.w.d= 1/6 +1/8-1/12 = 5/24
24/5= 4 4/5 (4/5×60)= 4hrs 48mins
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A tank is connected to three pipes – Pipe A, B and C. Pipe A can fill the tank in 6 hours, B can fill the tank in 8 hours and Pipe C can empty the full tank in 12 hours. How much time will it take to fill the tank completely if all three pipes are working together?a)4 hoursb)4 hours 48 minutesc)5 hoursd)5 hours 20 minutesCorrect answer is option 'B'. Can you explain this answer?
Question Description
A tank is connected to three pipes – Pipe A, B and C. Pipe A can fill the tank in 6 hours, B can fill the tank in 8 hours and Pipe C can empty the full tank in 12 hours. How much time will it take to fill the tank completely if all three pipes are working together?a)4 hoursb)4 hours 48 minutesc)5 hoursd)5 hours 20 minutesCorrect answer is option 'B'. Can you explain this answer? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about A tank is connected to three pipes – Pipe A, B and C. Pipe A can fill the tank in 6 hours, B can fill the tank in 8 hours and Pipe C can empty the full tank in 12 hours. How much time will it take to fill the tank completely if all three pipes are working together?a)4 hoursb)4 hours 48 minutesc)5 hoursd)5 hours 20 minutesCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A tank is connected to three pipes – Pipe A, B and C. Pipe A can fill the tank in 6 hours, B can fill the tank in 8 hours and Pipe C can empty the full tank in 12 hours. How much time will it take to fill the tank completely if all three pipes are working together?a)4 hoursb)4 hours 48 minutesc)5 hoursd)5 hours 20 minutesCorrect answer is option 'B'. Can you explain this answer?.
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