By what percent is the time taken by 12 men to complete a particular task greater than the time taken by 10 women to complete the same task?
(1) The time taken by 6 men to complete a particular task is 25% more than the time taken by 5 women to complete the same task.
(2) The time taken by 10 men to complete a particular task is 10% less than the time taken by 6 women to complete the same task.
OA coming up!!
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
D.S. Dhamaka II : Work-Rate and Percentages
This topic has expert replies
If this post helped you in your GMAT prep, please take a moment and hit the "thanks" button. It'll make my day 
---------------------------------
Genius gives birth to great work; labor and labor alone realizes it.
---------------------------------
Genius gives birth to great work; labor and labor alone realizes it.
GMAT/MBA Expert
-
Anurag@Gurome
- GMAT Instructor
- Posts: 3835
- Joined: Fri Apr 02, 2010 10:00 pm
- Location: Milpitas, CA
- Thanked: 1854 times
- Followed by:523 members
- GMAT Score:770
To be strict, there is no mention that all these particular tasks are same task. Hence, the answer should be E as we cannot relate any of the statement with the question.tabsang wrote:By what percent is the time taken by 12 men to complete a particular task greater than the time taken by 10 women to complete the same task?
(1) The time taken by 6 men to complete a particular task is 25% more than the time taken by 5 women to complete the same task.
(2) The time taken by 10 men to complete a particular task is 10% less than the time taken by 6 women to complete the same task.
Assuming they are same task,
Statement 1: Say time taken by 5 women to complete the task is 100x hours.
Hence, time taken by 6 men to complete the task is 125x hours.
So, time taken by 10 women to complete the task is 50x hours.
And, time taken by 12 men to complete the task is 125x/2 hours.
Hence, we can determine the required percentage.
Sufficient
Statement 2: Say time taken by 6 women to complete the task is 100y hours.
Hence, time taken by 10 men to complete the task is 90y hours.
So, time taken by 10 women to complete the task is 6*100y/10 hours.
And, time taken by 12 men to complete the task is 90*10y/12 hours.
Hence, we can determine the required percentage.
Sufficient
The correct answer is D.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
OA: [spoiler](D)[/spoiler]
If this post helped you in your GMAT prep, please take a moment and hit the "thanks" button. It'll make my day
---------------------------------
Genius gives birth to great work; labor and labor alone realizes it.
---------------------------------
Genius gives birth to great work; labor and labor alone realizes it.
Wow, Anurag that's an important aspect that I missed. It didn't even occur to me that in fact all 3 tasks could be different and E could be in contention. Woah.Anurag@Gurome wrote:To be strict, there is no mention that all these particular tasks are same task. Hence, the answer should be E as we cannot relate any of the statement with the question.tabsang wrote:By what percent is the time taken by 12 men to complete a particular task greater than the time taken by 10 women to complete the same task?
(1) The time taken by 6 men to complete a particular task is 25% more than the time taken by 5 women to complete the same task.
(2) The time taken by 10 men to complete a particular task is 10% less than the time taken by 6 women to complete the same task.
Anyway since the OA is [spoiler](D)[/spoiler], I believe that in this case they've assumed that the tasks are same. Thanks for the informative and elaborate solution.
Cheers,
Taz
If this post helped you in your GMAT prep, please take a moment and hit the "thanks" button. It'll make my day
---------------------------------
Genius gives birth to great work; labor and labor alone realizes it.
---------------------------------
Genius gives birth to great work; labor and labor alone realizes it.
