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[Problem Solving]

试题详情

题目:

Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w widgets in 3 days, how many days would it take machine X alone to produce 2w widgets?

选项:

A、4
B、6
C、8
D、10
E、12

答案:

E

提问:

按前面最近的录音解答所说,设两者天数分别为X和X-2,那么 两者合起来的效率是 A=W/X+W/X+Z, 根据题目可列出式子 5W/4 / A = 3, 换算 W消去就可得5*X^2-34X+24=0, X 是有两解8/10和6,为什么只有一个解6被采纳呢?还有用此方法运算量比较大,可否有更快的方法?希望老师给给予解答,谢谢!

解答:

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