Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 15)
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?
3
5
7
Cannot be determined
None of these
Answer: Option
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.

Discussion:
47 comments Page 1 of 5.

Deepti said:   1 decade ago
How can we write 5 women's and 10 children's 1 day work is 5/70 and 10/140?

Kamlesh jaiswal said:   1 decade ago
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:   1 decade ago
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:   1 decade ago
1 women= 2 childrens

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

Kannips said:   1 decade ago
Mahesh realy super.

Santh said:   1 decade ago
Swamy. Good.

Jyothi said:   1 decade ago
hi swamy
super ur brilliant

Manikandasenthil said:   1 decade ago
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:   1 decade ago
@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:   1 decade ago
Yes this is a good ans.


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