A pump started filling an empty pool with water and continued at a constant rate until the pool was full. At noon the pool was \frac{1}{3} full, and \frac{11}{4} hours later it was \frac{3}{4} full. What was the total number of hours that it took the pump to fill the pool?
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A\frac{21}{3}
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B\frac{22}{4}
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C3
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D\frac{31}{2}
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E\frac{32}{3}
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正确答案: C