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# By what percent is the time taken by 12 men to complete a pa

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By what percent is the time taken by 12 men to complete a pa [#permalink]

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28 Dec 2012, 05:49
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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.

Cheers,
Taz
[Reveal] Spoiler: OA

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Re: By what percent is the time taken by 12 men to complete a pa [#permalink]

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29 Dec 2012, 12:37
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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.

Cheers,
Taz

Suppose time taken by each men to finish the work one is m and time taken by each women is w
Rate of each men = 1/m
Rate of each women = 1/w

Rate of 12 men = 12/m => time taken by 12 men to finish the work is m/12
Rate of 10 women = 10/w => time taken by 10 women to finish the work is w/10

we need to find : (time 12men - time 10 women)/(time 10women)
= (m/12 - w/10)/ (w/10)
= (10m - 12w) / 12w = ((5/6)*(m/w)) - 1

STAT1:
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.
time taken by 6men = m/6
time taken by 5women = w/5

m/6 = 1.25 * w/5
=> m/w = 1.25 * 6/5 = 1.5
if we have m/w then we can find ((5/6)*(m/w)) - 1
SO SUFFICIENT!

STAT2:
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.
time taken by 10men = m/10
time taken by 6 women = w/6
m/10 = 0.90 * w/6
=> m/w = 0.90 * 10/6 = 1.5
if we have m/w then we can find ((5/6)*(m/w)) - 1
SO SUFFICIENT!

Hence, Answer will be D.
Hope it helps!
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Re: By what percent is the time taken by 12 men to complete a pa [#permalink]

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30 Dec 2012, 05:07
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.

Cheers,
Taz

To conceptually attack the problem in DS ways, if we have a sense of total work needed by m/w then we can answer the specifics of x m/w

1. 6m = 1.25*5w here work is equal to 5w and m can be expressed in terms of w.
2. 10m = 0.9*6w here too same as in 1 .

So D
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Re: By what percent is the time taken by 12 men to complete a pa [#permalink]

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15 Sep 2013, 09:37
Is it okay to assume that every man and every owman are working at the same speed.

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Re: By what percent is the time taken by 12 men to complete a pa [#permalink]

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16 Sep 2013, 02:23
sanjaykvbsingh wrote:
Is it okay to assume that every man and every owman are working at the same speed.

Posted from GMAT ToolKit

It would be better if it were mentioned that men and women work at their respective uniform rates, which is clearly assumed there.
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Re: By what percent is the time taken by 12 men to complete a pa [#permalink]

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21 Oct 2013, 12:14
sanjaykvbsingh wrote:
Is it okay to assume that every man and every owman are working at the same speed.

Posted from GMAT ToolKit

Exactly my point.
I chose E on the basis that I couldn't tell whether all men and women worked at the same constant rate. If for example the 6 men work at a rate x, how do I know that the 7th or 8th man added would work at the same uniform rate?

Isn't that a valid concern?
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Re: By what percent is the time taken by 12 men to complete a pa [#permalink]

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22 Oct 2013, 07:14
6m.... 1.25x
5w....x

so 12m...0.75x
10w.....0.5x

so I is sufficient.

10m...0.9x
6w...x

12m....0.9x (12)/10
10w.....x(10)/6

so II is sufficient.

I could be wrong. I'm still doing the math intuitively rather than logically. I'm going to start proper training from this weekend.
Re: By what percent is the time taken by 12 men to complete a pa   [#permalink] 22 Oct 2013, 07:14
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# By what percent is the time taken by 12 men to complete a pa

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