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?
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 2 of 5.
Bhavesh Ahire said:
1 year ago
10w took 7 days so -> 10 * 7 = 70.
10c took 14 days so-> 10*14=140
w : c
70 :140
2 : 1 =>unit per day work
Then 140=>Total work(LCM of 140)
Efficiency * Time = Total work.
(5w + 10ch) * D = Total work.
w=2, ch=1,
D = 140/20,
D = 7.
10c took 14 days so-> 10*14=140
w : c
70 :140
2 : 1 =>unit per day work
Then 140=>Total work(LCM of 140)
Efficiency * Time = Total work.
(5w + 10ch) * D = Total work.
w=2, ch=1,
D = 140/20,
D = 7.
(5)
Gouri said:
7 years ago
10W =>7 days.
10C =>14 days.
5W+10C = ?.
LCM of 7&14 is 14.
The efficiency of 10W is 2 and the efficiency of 10C is 1.
So, for 5W efficiency required is only 1 & for 10C efficiency is 1.
ie; 1 + 1 = 2.
14/2 = 7days (here 14 is LCM).
10C =>14 days.
5W+10C = ?.
LCM of 7&14 is 14.
The efficiency of 10W is 2 and the efficiency of 10C is 1.
So, for 5W efficiency required is only 1 & for 10C efficiency is 1.
ie; 1 + 1 = 2.
14/2 = 7days (here 14 is LCM).
(7)
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.
Ravi said:
1 decade ago
10 women in 7 days.then v can alsov say 5 women in 14 days.
also 10 children in 14 days.
therfore 1women=2 children.
Now 5 women and 10 children are 20 children(as 1women =2 children).
As 10children in 10days therefore 20 children in 7 days.
also 10 children in 14 days.
therfore 1women=2 children.
Now 5 women and 10 children are 20 children(as 1women =2 children).
As 10children in 10days therefore 20 children in 7 days.
Uday said:
12 months ago
10W = 1/7.
10C = 1/14.
The conversion of 10W to 5W.
They have asked 5W, So (1/7)/2 will be 1/14.
And 10C will be the same as it is 1/14.
5W + 10C = 1/14 + 1/14.
5W + 10C = 2/14 which is nothing but 1/7 per day.
Just invert then it is 7 days.
10C = 1/14.
The conversion of 10W to 5W.
They have asked 5W, So (1/7)/2 will be 1/14.
And 10C will be the same as it is 1/14.
5W + 10C = 1/14 + 1/14.
5W + 10C = 2/14 which is nothing but 1/7 per day.
Just invert then it is 7 days.
(5)
Karthik kovai said:
1 decade ago
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.
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.
(1)
SURYA PRAKASH said:
9 years ago
10 women do in 7 days.
10 children can do in 14 days.
So 1 women = 2 children.
=> 10 children = 5 women.
So total we have 10 women (5 women and 10 children).
Given 10 women can do it in 7 days. So, it will take 7 days.
10 children can do in 14 days.
So 1 women = 2 children.
=> 10 children = 5 women.
So total we have 10 women (5 women and 10 children).
Given 10 women can do it in 7 days. So, it will take 7 days.
Deepak Patgar said:
1 decade ago
10 women need 7 days, so 5 women need 14 days.
10 children need 14 days.
So if 5 women and 10 children work together for 14 days they will complete the work twice. To complete it once they will need 14/2 = 7 days.
10 children need 14 days.
So if 5 women and 10 children work together for 14 days they will complete the work twice. To complete it once they will need 14/2 = 7 days.
Ravi said:
3 years ago
10w -7 days
10chil - 14 days.
i.e- 1 women = 2 children.
Find 5W+10chil work.
i e-. We know that 5W = 10 children.
So 10+10=20 children can do work in 7 days.
Hope, this help to understand.
10chil - 14 days.
i.e- 1 women = 2 children.
Find 5W+10chil work.
i e-. We know that 5W = 10 children.
So 10+10=20 children can do work in 7 days.
Hope, this help to understand.
(33)
RANJAN said:
1 decade ago
10 WOMEN CAN DO THE WORK IN 7 DAYS.
THEN 5 WOMEN CAN DO THE WORK IN 14 DAYS.
AND 10 CHILDREN CAN DO THE WORK IN 14 DAYS.
SO 5 WOMEN+10 CHILDREN CAN DO THE WORK IN 14*14/14+14 = 7 DAYS.
THEN 5 WOMEN CAN DO THE WORK IN 14 DAYS.
AND 10 CHILDREN CAN DO THE WORK IN 14 DAYS.
SO 5 WOMEN+10 CHILDREN CAN DO THE WORK IN 14*14/14+14 = 7 DAYS.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers