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Aptitude - Time and Work - Discussion

@ : Home > Aptitude > Time and Work > General Questions - Discussion

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"We cannot solve our problems with the same thinking we used when we created them."
- Albert Einstein
15. 

10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

[A]. 3[B]. 5
[C]. 7[D]. Cannot be determined
[E]. None of these

Answer: Option D

Explanation:

1 woman's 1 day's work = 1
70

1 child's 1 day's work = 1
140

(5 women + 10 children)'s day's work = 5 + 10 = 1 + 1 = 1
70 140 14 14 7

5 women and 10 children will complete the work in 7 days.


Deepti said: (Wed, Aug 25, 2010 11:05:05 AM)    
 
How can we write 5 women's and 10 children's 1 day work is 5/70 and 10/140?

Kamlesh Jaiswal said: (Thu, Sep 2, 2010 12:40:02 PM)    
 
10 women's one day work =1/7
So 1 women's one day work =1/70
So 5 women's one day work =5*1/70

Similarly,
1 child's one day work = 1/140
and 10 child's one day work = 10/140

Mahesh said: (Thu, Sep 9, 2010 10:31:25 PM)    
 
10 women's one day work =1/7
So 5 women's one day work=1/14
and 10 child's one day work =1/14

So 5 women's and 10 childrens one day work is

= 1/14 + 1/14
= 2/14
= 1/7

Ans: 7 days.

Swamy said: (Mon, Nov 1, 2010 12:04:38 AM)    
 
1 women= 2 childrens

so 5 women+ 10 children=10 women = 7days

Kannips said: (Sun, Dec 12, 2010 09:11:08 PM)    
 
Mahesh realy super.

Santh said: (Mon, Dec 27, 2010 01:18:22 PM)    
 
Swamy. Good.

Jyothi said: (Tue, Jan 25, 2011 09:20:53 AM)    
 
hi swamy
super ur brilliant

Manikandasenthil said: (Mon, Apr 11, 2011 10:28:04 AM)    
 
Can any one explain this...

10 women can do the work in 7 days
why can't 5 women can do the work in 7/2 days

I solved it this way and it is not working...
what goes wrong in the middle??

5 women one days' work = 1/(7/2) = 2/7
10 children one days' work = 1/14
2/7 + 1/14 = 98/35??

Pranathi said: (Tue, May 31, 2011 01:59:23 PM)    
 
@Manikandasenthil;

when u do 7/2 u r not decreasing the no of women working , but u r decreasing the work they do.

just use a simple logic........... when u reduce the no of people wrking the time taken to complete it will increase.......... in that case when u do 7/2 it either appears that the wrk done is reduced to half or, that u hav doubled the no of women wrking.......

Pranil said: (Thu, Jun 2, 2011 06:58:00 AM)    
 
Yes this is a good ans.

Ali Umar said: (Wed, Aug 3, 2011 12:46:29 PM)    
 
Thanks.

Samy super mind.

Asha said: (Fri, Sep 16, 2011 06:48:02 PM)    
 
Well 10 women can complete a work in 7 days and 10 children can do it in 14 days, that means one woman is 2 times efficient than a child therefore 1woman=2 children, therefore 10 children+10 children(or 5 women) can do a work in 14/2 i.e. 7 days.

Karthik Kovai said: (Thu, Feb 2, 2012 11:58:30 AM)    
 
Let simply
x be the woman's 1 day work.
y be the children's 1 day work.
so,
10x= 1/7 ; 10y= 1/14
x= 1/70 ; y= 1/140

then 5*1/70 = 1/14 ; 10*1/140 =1/14

1/4 + 1/4 =1/7
So they will take 7 days to complete.

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