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# Machine X and Y run at different constant rates. Machine X

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Machine X and Y run at different constant rates. Machine X [#permalink]  20 Dec 2003, 21:07
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Machine X and Y run at different constant rates. Machine X can complete the job in 9 hours. Machine X works the job for 3 hours and then the two machines work together. They complete the job in 4 more hours. How many hours would it take Y to work the job alone?

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Re: PS - Rate Problem [#permalink]  20 Dec 2003, 21:14
ftoor wrote:
Machine X and Y run at different constant rates. Machine X can complete the job in 9 hours. Machine X works the job for 3 hours and then the two machines work together. They complete the job in 4 more hours. How many hours would it take Y to work the job alone?

X, in 1 hr = 1/9
Y, in 1 hr = 1/Y

x worked for 3 hrs + x,y worked for 4 more = total work done

3*1/9 + 4(1/9+1/Y) = 1
solve for Y
=18
Re: PS - Rate Problem   [#permalink] 20 Dec 2003, 21:14
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