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by prameko » Tue Apr 15, 2008 11:49 am
Could u please help me to solve this problem in easy and fast way. I took so long time to solve. This problem I should plug in or which way is better?

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

A : 4
B : 6
C : 8
D : 10
E : 12
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by vinviper1 » Tue Apr 15, 2008 1:03 pm
please post answer
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by prameko » Tue Apr 15, 2008 1:22 pm
ans =E
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by GMAT_crusher » Tue Apr 15, 2008 2:23 pm
plug-in


(5/4)W in 3 days means, (12/5)W in 1 day. So we are looking for the combination that yields us (12/5)W in a day ..

Lets try D: 10

i.e 10 days for 2W i.e. 5 days for 1W for X

i.e 3 days (2 less) for Y

so -

1/5 + 1/3 = 8/15

lets try E: 12

i.e 12 days for 2W, i.e. 6 days for 1W for X
i.e. 4 days for Y

1/6 + 1/4 = 10/24 = 5/12 or 12/5 W ... bingo.

Ans is E.
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