求该GAMT数学题的快速解题技巧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 ta

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求该GAMT数学题的快速解题技巧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 ta
求该GAMT数学题的快速解题技巧
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?
A.4
B.6
C.8
D.10
E.12
如果假设machineX Y的工作效率为x y 的话,或者求他们做一个W所需的天数的话,都可以求得解.但是 列方式,解方程都很花时间,

求该GAMT数学题的快速解题技巧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 ta
通过X和Y一共生产5/4用3天,X比Y慢2天每W,很容易看出来这三天X生产了2/4,Y生产了3/4,2W也就是4个2/4W,也就是4个3天,那就是12天
这就是你要的抛弃Y直接看X的思路?

可以随便设一个w 因为只是参数 不影响结果 所以我设w=1 由题意可以得x+y=5/12 y-x=2xy 然后相对容易可以算出xy=1/24 这样的话x解出=1/6
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