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

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Manager
Joined: 01 Sep 2003
Posts: 70
Location: NYC
Machine X and Y run at different constant rates. Machine X  [#permalink]

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20 Dec 2003, 22:07
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:00) correct 0% (00:00) wrong based on 6 sessions

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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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Director
Joined: 13 Nov 2003
Posts: 941
Location: Florida
Re: PS - Rate Problem  [#permalink]

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20 Dec 2003, 22:14
1
1
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
Non-Human User
Joined: 09 Sep 2013
Posts: 8533
Re: Machine X and Y run at different constant rates. Machine X  [#permalink]

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11 Dec 2017, 13:02
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Re: Machine X and Y run at different constant rates. Machine X &nbs [#permalink] 11 Dec 2017, 13:02
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