Two pipes A and B can independently fill a container in 12 and 15 minutes respectively. A third pipe C discharges 45 liters of water every minute. Operating all pipes together fills the container in 15 minutes. What is the total water capacity of the container?
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Answer: B. 540 liters
Explanation
The combined net filling rate of all pipes over fifteen minutes equals the total tank volume. Pipe C extracts forty five liters per minute, influencing the overall net accumulation speed. Solving the algebraic equation for total capacity yields exactly five hundred forty liters. Discharge rates are subtracted from filling rates when evaluating concurrent antagonistic fluid systems. Net rate equals the sum of inflow rates minus the outflow rate of the drainage pipe. Total capacity equals the net filling rate multiplied by the total operational duration.
Reservoir management often requires balancing incoming supply sources with controlled municipal drainage outflows. Calculating exact tank capacities helps municipal planners design adequate emergency water storage facilities. Industrial cooling systems rely on balancing inflow and outflow to maintain constant liquid levels. Option A assumes a lower net flow rate than what the combined pipes actually produce. Option C results from incorrectly scaling the discharge volume of the third drainage pipe. Option D miscalculates the interaction between the filling times and the extraction rate.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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