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# work ds

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Director
Joined: 17 Oct 2005
Posts: 932
Followers: 1

Kudos [?]: 203 [0], given: 0

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12 Feb 2006, 01:32
00:00

Difficulty:

(N/A)

Question Stats:

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

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How much time will it take for person x alone to produce 2w products?

1)It takes x 2 more hours than y to produce w products

2) Working together, x and y can produces 4/3w products in 4w/3 hours.
Director
Joined: 17 Dec 2005
Posts: 548
Location: Germany
Followers: 1

Kudos [?]: 40 [0], given: 0

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12 Feb 2006, 02:24
There are some hints that make me suspicious, but I can't solve it:

xt=2w with t=?

1)
x(t+2)= w
and
y(t)=w
or
x(t+2) + y(t) = 2w
or
t(x+y)=2(w-x)

2)
(1/x + 1/y) * 4w/3 = 4/3w
=
1/x + 1/y = 1/(w^2)
=
w^2= xy/(x+y)
or
x+y=xy/(w^2)

No way, E
Senior Manager
Joined: 11 Jan 2006
Posts: 269
Location: Chennai,India
Followers: 1

Kudos [?]: 4 [0], given: 0

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12 Feb 2006, 21:44
1) x(t+2)=w
thus yt=w

xt+2x=yt
2x=t(y-x)

2) (1/x+1/y) 4w/3=4/3w

x+y/xy*4w/3=4/3w

again i am stuck here... so in exam i wld pick E
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vazlkaiye porkalam vazltuthan parkanum.... porkalam maralam porkalthan maruma

GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5062
Location: Singapore
Followers: 30

Kudos [?]: 358 [0], given: 0

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12 Feb 2006, 22:06
1) Insufficient. We do not kow how long y takes.
2) Working together -> 4/3w products in 4w/3 hours -> so w products will take:

3/4 * 4w/3 = w hours

But that is all we know. Insufficient.

Using 1) and 2),
Assuming x took x hours to make w products, then y will take x-2 hours

x + x-2 = w
2x = w+2

We still have no number. Insufficient.

Ans E
12 Feb 2006, 22:06
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