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 Post subject: Company C has a machine
 Post Posted: Thu Aug 06, 2009 4:42 am 
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Hi I,m new this website, I have several questions from the gmat test prep that I'm having difficulty with. I was able to get this one correct but I'm not sure how I got it. Please help.

Company C has a machine that, working alone at its constant rate, processes 100 units of a certain product in 5 hours. If Company C plans to buy a new machine that will process this product at a constant rate and if the two machines, working together at their respective constant rates, are to process 100 units of this product in 2 hours, what should be the constant rate, in units per hour, of the new machine?

A. 50
B. 45
C. 30
D. 25
E. 20

The answer is C, but how?


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 Post subject: Re: Company C has a machine
 Post Posted: Thu Aug 06, 2009 11:18 am 
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candace_washington1980 wrote:
Hi I,m new this website, I have several questions from the gmat test prep that I'm having difficulty with. I was able to get this one correct but I'm not sure how I got it. Please help.

Company C has a machine that, working alone at its constant rate, processes 100 units of a certain product in 5 hours. If Company C plans to buy a new machine that will process this product at a constant rate and if the two machines, working together at their respective constant rates, are to process 100 units of this product in 2 hours, what should be the constant rate, in units per hour, of the new machine?

A. 50
B. 45
C. 30
D. 25
E. 20

The answer is C, but how?


I guess there are number of ways to work this out. My way is

Old machine processes 100 units of the product in 5 hrs.

Therefore, it produces 20 units per hr.

Old machine + New machine must produce 100 units in 2 hrs.
Therefore, 50 units per hr.

Since old machine produces 20 units per hr, the new machine must produce at 30 units per hr to get a total of 20+30=50 units per hr.


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 Post subject: Re: Company C has a machine
 Post Posted: Thu Aug 06, 2009 12:24 pm 
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Posts: 17
Well this is how I worked it.

Machine 1 Machine 2 Both machines
rate=100 x rate=100
5 2
rate= 20 rate= 50

20 + x = 50
x = 30

Is this correct or did I get lucky because the numbers worked out?


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