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 1 of 5.
Chahat Mishra said:
6 months ago
Very easy approach;
10W = 1/7
2(5W) = 1/7
5W = 1/14
Already given 10C = 1/14
5W + 10C = (1/14+1/14) = 1/7
Answer: 7.
10W = 1/7
2(5W) = 1/7
5W = 1/14
Already given 10C = 1/14
5W + 10C = (1/14+1/14) = 1/7
Answer: 7.
(2)
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)
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)
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)
Rajbir said:
5 years ago
10 w = 7 days ---> (1)
10 c= 14 days
1w = 2c.
1c=1/2w.
We have to put in this;
5w+10c=?.
5w+10(1/2 )w=?.
5w+5w=?.
Therefore from equation 1 put the value of 10 women;
10w = 7 days.
10 c= 14 days
1w = 2c.
1c=1/2w.
We have to put in this;
5w+10c=?.
5w+10(1/2 )w=?.
5w+5w=?.
Therefore from equation 1 put the value of 10 women;
10w = 7 days.
(10)
Premjit said:
5 years ago
W*d=c*d.
10*7W=10*14C.
W/c=2/1.
Now 10W*7=(5W+10C)*D,
140=20D,
D=7 days.
10*7W=10*14C.
W/c=2/1.
Now 10W*7=(5W+10C)*D,
140=20D,
D=7 days.
(12)
Nouf said:
6 years ago
10 W = 70 W.
10 Child 140 W.
1W =2 Child.
=> 5W+10 C= 5+5 Women = 7 days.
10 Child 140 W.
1W =2 Child.
=> 5W+10 C= 5+5 Women = 7 days.
(5)
Sujesh k said:
6 years ago
This can be done by equating the given datas,
Let's assume x be women and y be children,
From the question,
10x = 1/7(1-day work)---> (1)
10y = 1/14(1-day work)---> 2)
5x+10y=?---> (3)
From (1),
2(5x)=1/7
5x=1/14 ---> (4).
Therefore, substitute (2) and (4) in (3).
We get 5x+10y=1/14 + 1/14.
= 2/14
= 1/7.
So it takes 7 days to complete.
Let's assume x be women and y be children,
From the question,
10x = 1/7(1-day work)---> (1)
10y = 1/14(1-day work)---> 2)
5x+10y=?---> (3)
From (1),
2(5x)=1/7
5x=1/14 ---> (4).
Therefore, substitute (2) and (4) in (3).
We get 5x+10y=1/14 + 1/14.
= 2/14
= 1/7.
So it takes 7 days to complete.
(5)
Navi said:
7 years ago
10 women= 1/7 th work per day.
Then;
1 women= 1/70th work per day. -------> (1)
in the same way
1 child = 1/140th work per day -----------> (2)
So
5(w) + 10(c) = 5(1/70) + 10(1/140) ;from (1) and (2)
1/14+1/14 = 2/14 = 1/7.
So 1/7th work is done per day by 5 women and 10 children.
Hence they will take 7 days to complete whole work.
Then;
1 women= 1/70th work per day. -------> (1)
in the same way
1 child = 1/140th work per day -----------> (2)
So
5(w) + 10(c) = 5(1/70) + 10(1/140) ;from (1) and (2)
1/14+1/14 = 2/14 = 1/7.
So 1/7th work is done per day by 5 women and 10 children.
Hence they will take 7 days to complete whole work.
(2)
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)
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