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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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Author:  rohit8865 [ 05 Feb 2017, 11:26 ]
Post subject:  2 men and 3 women can finish a piece of work in 10 days. while 4 men c

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

Author:  KarishmaB [ 04 Dec 2018, 23:07 ]
Post subject:  Re: 2 men and 3 women can finish a piece of work in 10 days. while 4 men c

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/

Author:  laddaboy [ 05 Feb 2017, 14:49 ]
Post subject:  Re: 2 men and 3 women can finish a piece of work in 10 days. while 4 men c

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).

Author:  gracie [ 05 Feb 2017, 14:38 ]
Post subject:  2 men and 3 women can finish a piece of work in 10 days. while 4 men c

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

Author:  sobby [ 05 Feb 2017, 22:37 ]
Post subject:  Re: 2 men and 3 women can finish a piece of work in 10 days. while 4 men c

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 ...

Author:  ScottTargetTestPrep [ 08 Feb 2017, 18:48 ]
Post subject:  Re: 2 men and 3 women can finish a piece of work in 10 days. while 4 men c

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

Author:  T700ISB [ 09 Feb 2017, 01:34 ]
Post subject:  Re: 2 men and 3 women can finish a piece of work in 10 days. while 4 men c

Could somebody please explain the conventional method for the problem?

Author:  rohit8865 [ 09 Feb 2017, 02:56 ]
Post subject:  Re: 2 men and 3 women can finish a piece of work in 10 days. while 4 men c

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

Author:  BelalHossain046 [ 19 Dec 2019, 15:05 ]
Post subject:  Re: 2 men and 3 women can finish a piece of work in 10 days. while 4 men c

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.

Author:  BelalHossain046 [ 19 Dec 2019, 15:11 ]
Post subject:  Re: 2 men and 3 women can finish a piece of work in 10 days. while 4 men c

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.

Author:  jayshaha [ 05 Aug 2020, 22:22 ]
Post subject:  Re: 2 men and 3 women can finish a piece of work in 10 days. while 4 men c

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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