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16 May 2023, 01:30
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
84% (01:24) correct
16%
(01:53)
wrong
based on 101
sessions
History
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Not Attempted Yet
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.
(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.
16 May 2023, 05:08
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Let the time it takes for Michael or Donna alone to complete the sidewalk be M and D, respectively. We have 1/M + 1/D = 1/6
Question: M = ?
(1) Michael had left when the job was 1/3 done means that Michael and Donna have worked together for 1/3 of the job.
It takes Donna 8 hours to finish 2/3 of the job --> D = 8*3/2 = 12 hours
--> 1/M + 1/12 = 1/6 --> M = 12 --> sufficient
(2) 2D = 24 --> D = 12 --> Same as (1) --> sufficient
Therefore (D) is the answer.
Question: M = ?
(1) Michael had left when the job was 1/3 done means that Michael and Donna have worked together for 1/3 of the job.
It takes Donna 8 hours to finish 2/3 of the job --> D = 8*3/2 = 12 hours
--> 1/M + 1/12 = 1/6 --> M = 12 --> sufficient
(2) 2D = 24 --> D = 12 --> Same as (1) --> sufficient
Therefore (D) is the answer.
16 May 2023, 10:02
Kudos
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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.
Donna finishes 2/3 job in 8 hours. Therefore it takes her 12 hours to finish the job alone and therefore it also takes Michael 12 hours to finish the job, only then can the both of them finish the entire job in 6 hours
Therefore 1 alone is enough
(2) If Donna had to paint 2 identical sidewalks all by herself, it would have taken her 24 hours to finish.
To paint one wall, it would take her 12 hours, and again by the same logic, it takes Michael 12 hours also to finish the job
Therefore 2 alone is enough
Therefore each statement alone is enough
(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.
Donna finishes 2/3 job in 8 hours. Therefore it takes her 12 hours to finish the job alone and therefore it also takes Michael 12 hours to finish the job, only then can the both of them finish the entire job in 6 hours
Therefore 1 alone is enough
(2) If Donna had to paint 2 identical sidewalks all by herself, it would have taken her 24 hours to finish.
To paint one wall, it would take her 12 hours, and again by the same logic, it takes Michael 12 hours also to finish the job
Therefore 2 alone is enough
Therefore each statement alone is enough
