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2 men and 3 women can finish a piece of work in 10 days. while 4 men c

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rohit8865
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2 men and 3 women can finish a piece of work in 10 days. while 4 men c [#permalink] New post   05 Feb 2017, 12:26
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2 men and 3 women can finish a piece of work in 10 days. while 4 men can do it in 10 days. how many days can 3 men and 3 women take to finish the same work??

A) 8 days
B) 10 days
C) 12 days
D) 14 days
E) 18 days

Source: quicker maths
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A
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KarishmaB
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Re: 2 men and 3 women can finish a piece of work in 10 days. while 4 men c [#permalink] New post   05 Dec 2018, 00:07
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rohit8865 wrote:
2 men and 3 women can finish a piece of work in 10 days. while 4 men can do it in 10 days. how many days can 3 men and 3 women take to finish the same work??

A) 8 days
B) 10 days
C) 12 days
D) 14 days
E) 18 days

Source: quicker maths


Had options been more well thought out, this is what you could have done:

2 men and 3 women finish it in 10 days
4 men (2 men + 2 men) finish it in 10 days

So 3 women are equivalent to 2 men.

Then 3 men and 3 women are equivalent to 3 men and 2 men i.e. 5 men.

Now, 4 men complete the job in 10 days.
So 5 men will take 10*(4/5) = 8 days (fewer days will be taken so multiply by 4/5, the fraction less than 1)

For more on this method, check this post: https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2015/1 ... made-easy/
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Re: 2 men and 3 women can finish a piece of work in 10 days. while 4 men c [#permalink] New post   05 Feb 2017, 15:49
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Can be solved just by seeing answers, IF 2m+2W take 10 days, it obviously will take less time for 3M+3W => Check for option less that 10 days(A).
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2 men and 3 women can finish a piece of work in 10 days. while 4 men c [#permalink] New post   05 Feb 2017, 15:38
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rohit8865 wrote:
2 men and 3 women can finish a piece of work in 10 days. while 4 men can do it in 10 days. how many days can 3 men and 3 women take to finish the same work??

A) 8 days
B) 10 days
C) 12 days
D) 14 days
E) 18 days

Source: quicker maths


let m=daily rate of 1 man
10*4m=1
m=1/40
let w=daily rate of 1 woman
10(2/40+3w)=1
w=1/60
let d=number of days for 3 men and 3 women
d(3/40+3/60)=1
d=8 days
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Re: 2 men and 3 women can finish a piece of work in 10 days. while 4 men c [#permalink] New post   08 Feb 2017, 19:48
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rohit8865 wrote:
2 men and 3 women can finish a piece of work in 10 days. while 4 men can do it in 10 days. how many days can 3 men and 3 women take to finish the same work??

A) 8 days
B) 10 days
C) 12 days
D) 14 days
E) 18 days


3 men and 3 women will definitely get the job done in less time than 2 men and 3 women, who can finish the job in 10 days. The only answer choice that is less than 10 days is A, 8 days.

Answer: A
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Re: 2 men and 3 women can finish a piece of work in 10 days. while 4 men c [#permalink] New post   05 Feb 2017, 23:37
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rohit8865 wrote:
2 men and 3 women can finish a piece of work in 10 days. while 4 men can do it in 10 days. how many days can 3 men and 3 women take to finish the same work??

A) 8 days
B) 10 days
C) 12 days
D) 14 days
E) 18 days

Source: quicker maths



Yes, no need for solving it .,..seeing the answer we can predict the answer ...
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Re: 2 men and 3 women can finish a piece of work in 10 days. while 4 men c [#permalink] New post   09 Feb 2017, 03:56
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T700ISB wrote:
Could somebody please explain the conventional method for the problem?



Step 1.
Rate of work for man can be calculated with data in stem.
Step 2.
Rate of work for man and women combined is also given in stem.
Step 3.
Thus rate for women to be calculated as rate of women=Rate of both - Rate of man
Step 4.
Since rate of man and women are known we can calculate rate for 3 men and 3 women and thus time required( time = 1/Rate)

All is done in above post by gracie
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Re: 2 men and 3 women can finish a piece of work in 10 days. while 4 men c [#permalink] New post   09 Feb 2017, 02:34
Could somebody please explain the conventional method for the problem?
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Re: 2 men and 3 women can finish a piece of work in 10 days. while 4 men c [#permalink] New post   19 Dec 2019, 16:05
T700ISB wrote:
Could somebody please explain the conventional method for the problem?

Assume,
Total Work = 120 units
4 men take 10 days to complete 120 units.
i.e 4 men complete 12 units a day
or each men does 3 units a day.

AND
2 men and 3 women take 10 days to complete 120 units.
i.e. 2M & 3W complete 12 units a day.
Since each men does 3 units a day, 2 men do 6 units a day. And 3 women do remaining 6 units a day i.e. each women does 2 units a day.

So 3 men do (3*3) 9 units a day and 3 women do (2*3) 6 units a day. In total, 15 units a day by 3 men & 3 women.
So, 3 men & 3 women will take (120/15) 8 days to complete the work.
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Re: 2 men and 3 women can finish a piece of work in 10 days. while 4 men c [#permalink] New post   19 Dec 2019, 16:11
Number of workers and time taken to complete a work are inversely related.
If more workers are involved, it will take less time to complete the work.
Here, 2 men and 3 women take 10 days to complete the work. If you employ 1 more male worker (now 3 men & 3 women), it will take less time i.e. less than 10 days.
Only option A fits.
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Re: 2 men and 3 women can finish a piece of work in 10 days. while 4 men c [#permalink] New post   05 Aug 2020, 23:22
2m+3w= 4m
3w = 2m
3w +3m=2m+3m=5m
4m can do it in 10 days so 5m will do it 4*10/5=8 days
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Re: 2 men and 3 women can finish a piece of work in 10 days. while 4 men c [#permalink] New post   31 Jul 2023, 03:58
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