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# Running at their respective constant rates, machine X takes

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Intern
Joined: 18 Jun 2004
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Running at their respective constant rates, machine X takes [#permalink]  17 Sep 2004, 11:43
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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
Manager
Joined: 07 Sep 2004
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X working alone perform job in t days
The other perform job in t-2 days

since 5/4job in 3 days implies job if worked together is 3*4/5 = 12/5 days

1/t + 1/t-2 = 1/(12/5)

solving for t we get t = 6

double the job requires 6*2=12 days
Intern
Joined: 18 Jun 2004
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great , thanks.
Israeli - Lebanon working together - nice thing we are getting here
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