Aptitude - Time and Work - Discussion
Discussion Forum : Time and Work - General Questions (Q.No. 12)
12.
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
Answer: Option
Explanation:
Let 1 man's 1 day's work = x and 1 woman's 1 day's work = y.
| Then, 4x + 6y = | 1 | and 3x + 7y = | 1 | . |
| 8 | 10 |
| Solving the two equations, we get: x = | 11 | , y = | 1 |
| 400 | 400 |
 1 woman's 1 day's work = |
1 | . |
| 400 |
 10 women's 1 day's work = |
 |
1 | x 10 |  |
= | 1 | . |
| 400 | 40 |
Hence, 10 women will complete the work in 40 days.
Discussion:
106 comments Page 5 of 11.
Urvashi said:
1 year ago
4m+6w=8 days.
3m+7w=10 days.
10w=?
(4m+6w)=1/8.
(3m+7w)=1/10.
Now,
32m + 48w = 30m + 70w.
2m = 22w
2/22 * m = Bawa
2/22 = w/m.
so, w=2 and m=22,
again,
(4m+6w)*8=(10w)*x.
(4*22+6*2)*8=(10*2)*x.
800=20x.
x=40 answer.
3m+7w=10 days.
10w=?
(4m+6w)=1/8.
(3m+7w)=1/10.
Now,
32m + 48w = 30m + 70w.
2m = 22w
2/22 * m = Bawa
2/22 = w/m.
so, w=2 and m=22,
again,
(4m+6w)*8=(10w)*x.
(4*22+6*2)*8=(10*2)*x.
800=20x.
x=40 answer.
(7)
Nagu said:
2 decades ago
Hi Bhuvi,
if A takes 10 days to complete a work means
A's one day work is 1/10
Same way 10 women's one day work is 1/40 means they will take 40 days to complete the work.
I think you got my point.
Have a nice day
if A takes 10 days to complete a work means
A's one day work is 1/10
Same way 10 women's one day work is 1/40 means they will take 40 days to complete the work.
I think you got my point.
Have a nice day
Dhiru said:
8 years ago
(4m+6w)8 ---> (i)
(3m+7w)10 ---> (ii)
As per question.
(4m+6w)8=(3m+7w)10.
32m+48w=30m+70w.
2m=22w.
m/w=22/2 or 11/1.
Putting m=11 and w= 1 in eq(i)
(4*11+6*1)8 =400.
10 women complete work in 400/10 =40.
(3m+7w)10 ---> (ii)
As per question.
(4m+6w)8=(3m+7w)10.
32m+48w=30m+70w.
2m=22w.
m/w=22/2 or 11/1.
Putting m=11 and w= 1 in eq(i)
(4*11+6*1)8 =400.
10 women complete work in 400/10 =40.
(3)
Rohit pal said:
10 years ago
Easiest way:
We want only 10 women value right so just take equation like:
4m + 6w = 1/8.....(1) *3.
3m + 7w = 1/10......(2) *4.
We get -10w = 3/8 - 2/5.
Solve w = 1/400.
So 10 women = (1/400*10) = 40.
We want only 10 women value right so just take equation like:
4m + 6w = 1/8.....(1) *3.
3m + 7w = 1/10......(2) *4.
We get -10w = 3/8 - 2/5.
Solve w = 1/400.
So 10 women = (1/400*10) = 40.
Syed said:
1 decade ago
4M+6W=8 ----1
3M+7W=10 ----2
10W = ? ----3
8*4M+8*6w = 10*3M+10*7W
32M+48W = 30M+70W
32M-30M = 70W-48W
2M = 22W
1M = 11W
PUT IN EQ-2.
33W+7W = 10
40W = 10
40*10= 10*?
?= 40.
3M+7W=10 ----2
10W = ? ----3
8*4M+8*6w = 10*3M+10*7W
32M+48W = 30M+70W
32M-30M = 70W-48W
2M = 22W
1M = 11W
PUT IN EQ-2.
33W+7W = 10
40W = 10
40*10= 10*?
?= 40.
Ami said:
1 decade ago
4x+6y=1/8 ----(1)
3x+7y=1/10 ----(2)
now,multiply equation 1 with 3 and equ.2 with 4
12x+18y=3/8
12x+28y=2/5
- - -
-------------
-10y=-1/40
10y=1/40 so, 40 become ans
3x+7y=1/10 ----(2)
now,multiply equation 1 with 3 and equ.2 with 4
12x+18y=3/8
12x+28y=2/5
- - -
-------------
-10y=-1/40
10y=1/40 so, 40 become ans
KAUSHALAY said:
1 decade ago
Hi Ashish ! Could you please explain the below mentioned part once again?
NOW, we put the value of M in eq. 1
(44+6)8= 10X ( where did we get 10X? )
X = 400/10
X = 40 Ans.
NOW, we put the value of M in eq. 1
(44+6)8= 10X ( where did we get 10X? )
X = 400/10
X = 40 Ans.
Jayalakshmi said:
1 decade ago
Can you please explain.
How comes.
4x + 6y = 1/8 and 3x + 7y = 1/10.
X = 11/400, y = 1/400.
In easy method above mentioned methods are very difficult to understand.
How comes.
4x + 6y = 1/8 and 3x + 7y = 1/10.
X = 11/400, y = 1/400.
In easy method above mentioned methods are very difficult to understand.
Vinod Anand said:
1 decade ago
If 4M+6w = 1/8 ---- (1)x 3.
3M+7w = 1/10 ----(2)x 4.
And
12M+18W = 3/18.
12M+28w = 4/10.
Than
10W = 2/5 - 3/8 = 1/40.
Answer 10 W = 40, Option (B).
3M+7w = 1/10 ----(2)x 4.
And
12M+18W = 3/18.
12M+28w = 4/10.
Than
10W = 2/5 - 3/8 = 1/40.
Answer 10 W = 40, Option (B).
Mani said:
1 decade ago
No need to find x value for this question. So don't worry.
We need only Y.
When 10 women works 10*(1/400) becomes 1/40.
So they can complete the work in 40 days.
We need only Y.
When 10 women works 10*(1/400) becomes 1/40.
So they can complete the work in 40 days.
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