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 4 of 5.

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.

Ali Umar said:   1 decade ago
Thanks.

Samy super mind.

Asha said:   1 decade ago
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.

Sai krupa said:   1 decade ago
Its always better to take LCM for the total times which gives the total amount of work. So then solve the sum its so simple.

Jyoti said:   1 decade ago
Short and fast
70w=140c
1w=2c
m1d1=m2d2
10X14=20Xd2
d2=7days ans.

Jitendra Gupta said:   1 decade ago
Here what we can simply do as follows!

Convert the work into Woman Days (WD) and Children Days (CD)

WD - 7*10 = 70
CD - 14*10 = 140

It means 1 woman is equal to 2 Children.

so now convert woman into children. Means 5 Woman equal to 10 Children + No. of Children

Children Days/No. of Children

140/20 = 7 Days

Kulbhushan Chaskar said:   1 decade ago
10 W =7 .. 5 W =14
10 C =7 .. 10C =14

1 day work of 5W+10C=1/14+1/14
1/14+1/14=1/7

Hence 7 days.


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