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Pipe A can fill a tank at the rate of 35 gallons in 10 minutes. Pipe A will fill a tank that is \( \Large \frac{x}{3} \)rds empty in 12 minutes. What is the capacity of the tank?
A) 45 gallons
B) 52 gallons
C) 60 gallons
D) 63 gallons
Correct answer:
D) 63 gallons
Description for Correct answer:
Pipe A fills at the rate of 35 gallons per 10 minutes = 3.5 gallons per minute.
Pipe A is kept open for 12 minutes. So, the water discharged in as min. = \( \Large 12 \times 3.5 = 42 gallons \)
When pipe A was opened the tank was 2/3rd empty.
Therefore, 42 gallons = 2/3rd the total capacity of the tank.
Hence, the capacity of the tank = \( \Large \frac{3}{2} \times 42 = 63 gallons \)
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