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# Working together without taking breaks, Michael and Donna painted the

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Math Expert
Joined: 02 Sep 2009
Posts: 58453
Working together without taking breaks, Michael and Donna painted the  [#permalink]

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26 Sep 2016, 03:47
00:00

Difficulty:

5% (low)

Question Stats:

88% (01:10) correct 13% (01:41) wrong based on 122 sessions

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Working together without taking breaks, Michael and Donna painted the sidewalk in 6 hours. How long would it take Michael to paint the sidewalk by himself?

(1) If Michael had left when the job was 1/3 done, it would have taken Donna 8 hours to finish the job by herself.

(2) If Donna had to paint 2 identical sidewalks all by herself, it would have taken her 24 hours to finish.

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Retired Moderator
Joined: 26 Nov 2012
Posts: 569
Working together without taking breaks, Michael and Donna painted the  [#permalink]

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26 Sep 2016, 06:21
1
Bunuel wrote:
Working together without taking breaks, Michael and Donna painted the sidewalk in 6 hours. How long would it take Michael to paint the sidewalk by himself?

(1) If Michael had left when the job was 1/3 done, it would have taken Donna 8 hours to finish the job by herself.

(2) If Donna had to paint 2 identical sidewalks all by herself, it would have taken her 24 hours to finish.

m + d = 1/6

Stat 1: 8*d = 2/3 ...we get d value and we can find m value...Sufficient.

Stat 2: d = 1/6 for side walk for 2 sides walks she'll do 1/3..we can get m value..Sufficient..

IMO option D.
Manager
Joined: 24 Oct 2013
Posts: 129
Location: India
Concentration: General Management, Strategy
WE: Information Technology (Computer Software)
Re: Working together without taking breaks, Michael and Donna painted the  [#permalink]

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01 Oct 2016, 22:42
Its D

1. Statement 1 : alone sufficient to determine M's rate
2. Statement 2: alone sufficient as we have total - donna's time

individually sufficient
Non-Human User
Joined: 09 Sep 2013
Posts: 13260
Re: Working together without taking breaks, Michael and Donna painted the  [#permalink]

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17 Oct 2018, 09:34
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Re: Working together without taking breaks, Michael and Donna painted the   [#permalink] 17 Oct 2018, 09:34
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