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# Machines A, B, and C can either load nails into a bin or unload nails

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Manager
Joined: 22 Jul 2008
Posts: 96

Kudos [?]: 241 [0], given: 11

Location: Bangalore,Karnataka

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30 Nov 2009, 07:57
00:00

Difficulty:

(N/A)

Question Stats:

94% (02:12) correct 6% (02:11) wrong based on 120 sessions

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(A) 12 minutes
(B) 15 minutes
(C) 18 minutes
(D) 36 minutes
(E) 54 minutes

OPE DISCUSSION OF THIS QUESTION IS HERE: machines-a-b-and-c-can-either-load-nails-into-a-bin-or-86031.html

Last edited by kirankp on 30 Nov 2009, 09:01, edited 1 time in total.

Kudos [?]: 241 [0], given: 11

VP
Joined: 05 Mar 2008
Posts: 1467

Kudos [?]: 307 [1], given: 31

Re: Machines A, B, and C can either load nails into a bin or unload nails [#permalink]

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30 Nov 2009, 08:18
1
KUDOS
1
This post was
BOOKMARKED
kirankp wrote:
I guess a similar question was posted by Bunel sometime back.. anyhow here it is

(A) 12 minutes
(B) 15 minutes
(C) 18 minutes
(D) 36 minutes
(E) 54 minutes

A and B together = 1/a + 1/b = 1/6

B and C together = 1/b + 1/c = 1/9

We need to know the answer to 1/a - 1/c

From equation 2: 1/b = 1/9 - 1/c
substitute into equation 1

1/a + 1/9 - 1/c = 1/6
1/a - 1/c = 1/18

18 minutes

Kudos [?]: 307 [1], given: 31

Senior Manager
Joined: 15 Sep 2011
Posts: 358

Kudos [?]: 416 [1], given: 45

Location: United States
WE: Corporate Finance (Manufacturing)
Re: Machines A, B, and C can either load nails into a bin or unload nails [#permalink]

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25 Jun 2015, 08:42
1
KUDOS
kirankp wrote:
I guess a similar question was posted by Bunuel sometime back.. anyhow here it is

(A) 12 minutes
(B) 15 minutes
(C) 18 minutes
(D) 36 minutes
(E) 54 minutes

Bumping up. Moderator should edit in answer.
$$\frac{1}{6}$$ - $$\frac{1}{9}$$ = $$\frac{1}{18}$$
D. 18 minutes.

This works because $$\frac{a+b}{ab}$$ - $$\frac{b+c}{bc}$$ = $$\frac{c-a}{ac}$$ and $$\frac{1}{a}$$ - $$\frac{1}{c}$$ = $$\frac{c-a}{ac}$$

Kudos [?]: 416 [1], given: 45

Math Expert
Joined: 02 Sep 2009
Posts: 42338

Kudos [?]: 133145 [0], given: 12415

Re: Machines A, B, and C can either load nails into a bin or unload nails [#permalink]

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25 Jun 2015, 08:47
OPE DISCUSSION OF THIS QUESTION IS HERE: machines-a-b-and-c-can-either-load-nails-into-a-bin-or-86031.html
_________________

Kudos [?]: 133145 [0], given: 12415

Math Expert
Joined: 02 Aug 2009
Posts: 5234

Kudos [?]: 5889 [0], given: 118

Re: Machines A, B, and C can either load nails into a bin or unload nails [#permalink]

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25 Jun 2015, 08:49
mejia401 wrote:
kirankp wrote:
I guess a similar question was posted by Bunuel sometime back.. anyhow here it is

(A) 12 minutes
(B) 15 minutes
(C) 18 minutes
(D) 36 minutes
(E) 54 minutes

Bumping up. Moderator should edit in answer.
$$\frac{1}{6}$$ - $$\frac{1}{9}$$ = $$\frac{1}{18}$$
D. 18 minutes.

This works because $$\frac{a+b}{ab}$$ - $$\frac{b+c}{bc}$$ = $$\frac{c-a}{ac}$$ and $$\frac{1}{a}$$ - $$\frac{1}{c}$$ = $$\frac{c-a}{ac}$$

Ans is ok as it is it is C which is 18 and D is 36...
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5889 [0], given: 118

Re: Machines A, B, and C can either load nails into a bin or unload nails   [#permalink] 25 Jun 2015, 08:49
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