题目

Working alone, pump A can empty a pool in 3 hours. Working alone, pump B can empty the same pool in 2 hours. Working together, how many minutes will it take pump A and pump B to empty the pool?


选项

A.

72

B.

75

C.

84

D.

96

E.

108

解析

两台泵的合计效率是它们各自效率的和,即 \(\frac{1}{3} + \frac{1}{2} = \frac{5}{6}\)。 那么,排空泳池所需的分钟数为 \(\frac{6}{5} \times 60 = 72\)(因为效率单位是小时,所以要乘以60换算成分钟)。 答案:A
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