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A, B and C can do a work in 5 days, 10 days and 15 days

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Manager
Manager
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Joined: 28 Feb 2003
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A, B and C can do a work in 5 days, 10 days and 15 days [#permalink] New post 15 May 2003, 17:30
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

56% (01:29) correct 44% (00:46) wrong based on 6 sessions
A, B and C can do a work in 5 days, 10 days and 15 days respectively. They started together to do the work but after 2 days A and B left. C did the remaining work in how many days.

(1) 6
(2) 3
(3) 5
(4) 4
Manager
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Kudos [?]: 3 [0], given: 0

 [#permalink] New post 15 May 2003, 17:45
perfect :!: :!:
SVP
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Joined: 03 Feb 2003
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 [#permalink] New post 15 May 2003, 23:25
a share of work + another share = all work

2*(1/5+1/10+1/15)+X*1/15=1
X=4
Director
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Re: GMAT-PS: work again [#permalink] New post 15 Apr 2011, 14:09
Answer is 4 days.

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Re: GMAT-PS: work again [#permalink] New post 15 Apr 2011, 19:49
1/5 + 1/10 + 1/15 part of work is done in one day

So in 2 days -> 2(1/5 + 1/10 + 1/15) part of work is done

Part remaining = 1 - 2(1/5 + 1/10 + 1/15)

= ( 1 - 2(6 + 3 + 2 /30))

= (15 - 11)/15

= 4/15

So C does it in -> 4/15* 1/15 (Rate * Time = Work => Time = Work/Rate)

= 4 days

Answer - D
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Re: GMAT-PS: work again   [#permalink] 15 Apr 2011, 19:49
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A, B and C can do a work in 5 days, 10 days and 15 days

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