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A company has two types of machines, type R and type S.

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SVP
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A company has two types of machines, type R and type S.  [#permalink] New post 07 Dec 2007, 05:30
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A
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C
D
E

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A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 36 hours and a machine of type S does the same job in 18 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?

a) 3
b) 4
c) 6
d) 9
e) 12
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VP
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 [#permalink] New post 07 Dec 2007, 05:57
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Type R = 1/36 of the job ---> In one hour
Type S = 1/18 of the job ---> In one hour

Type R = 2/36 of the job ---> In two hours
Type S = 2/18 of the job ---> In two hours

2/36+2/18 = 6/36 = 1/6

we will need six machines

the answer is (C)

:)
Director
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 [#permalink] New post 07 Dec 2007, 07:47
KillerSquirrel wrote:
Type R = 1/36 of the job ---> In one hour
Type S = 1/18 of the job ---> In one hour

Type R = 2/36 of the job ---> In two hours
Type S = 2/18 of the job ---> In two hours

2/36+2/18 = 6/36 = 1/6

we will need six machines

the answer is (C)

:)


I got the same as killer

R*T=W

(1/36x+1/18x)(2)=1
(x)(1/36+1/18)(2)=1
(x)(3/36)(2)=1
(x)(1/6)=1
x=6

Ans C
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Joined: 21 Jul 2006
Posts: 1550
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 [#permalink] New post 07 Dec 2007, 07:56
OA is C :)
  [#permalink] 07 Dec 2007, 07:56
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