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ps- machines

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ps- machines [#permalink] New post 13 Sep 2005, 17:34
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6 Machines, each working at a constant rate, together can complete the job in 12 days. How many additional machines, working at the same rate are needed to complete the job in 8 days.
1. 2
2. 3
3. 4
4. 5
5. 1
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 [#permalink] New post 13 Sep 2005, 19:07
1) 3 more machines are needed.


6 machines - 12 days
1 machine - 72 days
9 machines - 8 days
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 [#permalink] New post 13 Sep 2005, 19:12
Same here. I get 3.
We know they work at a constant rate... say each machine take T days
6 machines .. it takes 12 days
so, 6/T = 1/12
Lets say N machines take 8 days
so, N/T = 1/8
Substitue value of T in either equation
you get N = 9
So 3 more machines.
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 [#permalink] New post 15 Sep 2005, 15:49
This is a direct variation problem. 12*6=8X, X=9. Three additional machines are needed.
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Chet

  [#permalink] 15 Sep 2005, 15:49
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