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

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Manager
Joined: 28 Feb 2003
Posts: 97
A, B and C can do a work in 5 days, 10 days and 15 days respectively.  [#permalink]

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15 May 2003, 17:30
1
3
00:00

Difficulty:

35% (medium)

Question Stats:

67% (01:35) correct 33% (02:12) wrong based on 68 sessions

### HideShow timer Statistics

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.

(A) 6
(B) 3
(C) 5
(D) 4
SVP
Joined: 03 Feb 2003
Posts: 1564
Re: A, B and C can do a work in 5 days, 10 days and 15 days respectively.  [#permalink]

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15 May 2003, 23:25
1
a share of work + another share = all work

2*(1/5+1/10+1/15)+X*1/15=1
X=4
Retired Moderator
Joined: 16 Nov 2010
Posts: 1419
Location: United States (IN)
Concentration: Strategy, Technology
Re: A, B and C can do a work in 5 days, 10 days and 15 days respectively.  [#permalink]

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15 Apr 2011, 19:49
1
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: A, B and C can do a work in 5 days, 10 days and 15 days respectively.  [#permalink]

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12 May 2018, 01:05
1
brstorewala wrote:
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.

(A) 6
(B) 3
(C) 5
(D) 4

Rate of A - 1/5

Rate of B - 1/10

Rate of C - 1/15

Work done together in two days = (1/5+1/10+1/15)*2 = 22/30

Remaining work = 1-22/30 = 8/30 = 4/15

Time taken by C to complete the remaining work, T = 4/15*15/1 = 4 days

(E)

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Re: A, B and C can do a work in 5 days, 10 days and 15 days respectively. &nbs [#permalink] 12 May 2018, 01:05
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