题目

Marge has 3 pumps for filling her swimming pool. When all 3 pumps work at their maximum rates, the swimming pool is filled in 56 minutes. Pump 1's maximum rate is twice the maximum rate of pump 2 and four times the maximum rate of pump 3. How long would it take Marge to fill the pool if she used only pump 3 at its maximum rate ?


选项

A.

2hrs, 48mins

B.

6hrs, 32mins

C.

7hrs, 12mins

D.

13hrs, 4mins

E.

14hrs, 24mins

解析

泵1的速率 = \( 4x \) 任务/分钟 泵2的速率 = \( 2x \) 任务/分钟 泵3的速率 = \( x \) 任务/分钟 根据题意:\( x + 2x + 4x = \frac{1}{56} \),解得 \( x = \frac{1}{392} \) 时间是速率的倒数,因此总时间 = 392分钟 = 6小时32分钟 答案:B
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