题目

While working alone at their constant rates computer X can process 240 files in 4 hours, and comp Y 240 files in 8 hrs. If all files processed by these comp. are the same size how long would it take the two comp. working at the same time at their respective constant rates , to process a total of 240 files?


选项

A.

2hrs

B.

2hrs 20 min

C.

2hrs 40 min

D.

6hrs

E.

6hrs 20 min

解析

240份文件这个信息在这里是无关的,因为两人做的是同一项工作,可以把它看作1个单位的工作量。 1小时内,两人共同完成的工作量 = \( \frac{1}{8} + \frac{1}{4} = \frac{1+2}{8} \) 因此,完成工作的总时间是 \( \frac{8}{3} \) 小时 = \( 2\frac{2}{3} \) 小时 = 2小时40分钟
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