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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
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A, B and C can do a work in 5 days, 10 days and 15 days [#permalink]  15 May 2003, 18:30
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Question Stats:

50% (01:49) correct 50% (01:01) 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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perfect
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a share of work + another share = all work

2*(1/5+1/10+1/15)+X*1/15=1
X=4
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Re: GMAT-PS: work again [#permalink]  15 Apr 2011, 15:09

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Re: GMAT-PS: work again [#permalink]  15 Apr 2011, 20:49
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

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Re: GMAT-PS: work again   [#permalink] 15 Apr 2011, 20:49
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