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.
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.
Seshapriya said:
1 decade ago
Hi Kaushalay..
why? to confuse with x,
8(44w+6w)=10w
8*50w=10w
when you cancel 50w and 10 w and make it to 8*5
Answer comes as 40.. :)
why? to confuse with x,
8(44w+6w)=10w
8*50w=10w
when you cancel 50w and 10 w and make it to 8*5
Answer comes as 40.. :)
Yyyy said:
1 decade ago
Thanks asish.
Nira said:
1 decade ago
How we get 8*50w=10w?
Kalyan said:
1 decade ago
Hi can any body say how 11/400 is possible?
Prasant said:
1 decade ago
4x+6y = 1/8
=> 4x+6/400 = 1/8 ...as x=1/400
=> 4x = 1/8-6/400
=> 4x = 11/100
=> x = 11/400
=> 4x+6/400 = 1/8 ...as x=1/400
=> 4x = 1/8-6/400
=> 4x = 11/100
=> x = 11/400
Katam brahmareddy said:
1 decade ago
4x + 6y =1/8*3 and 3x + 7y =1/10*4
12x+18y=3/8 and 12x+28y=2/5
subtract them
12x+18y-3/8-12x-28y+2/5=0
ofter
-10y=-3/8+2/5
=-15+16/40
=1/40 (it is work done for day with ten womens)
-10y=1/40*10
=1/40
answer is 40 days..
12x+18y=3/8 and 12x+28y=2/5
subtract them
12x+18y-3/8-12x-28y+2/5=0
ofter
-10y=-3/8+2/5
=-15+16/40
=1/40 (it is work done for day with ten womens)
-10y=1/40*10
=1/40
answer is 40 days..
Adithi said:
1 decade ago
4 men + 6 Women completes 1/8 of the work
i.e., 4m + 6w = 1/8 --- equation I
3 men + 7women completes 1/10 of the work
i.e ., 3m + 7w = 1/10 --- equation II
Multiply Equation I*3 and Equation II * 4 we get
12m + 18w =3/8
12m + 28w =4/10 ( now subtract)
------------------------------
0 + 10 w = 3/8 -4/10 = 1/40
------------------------------
hence 10 women takes 40 days !
i.e., 4m + 6w = 1/8 --- equation I
3 men + 7women completes 1/10 of the work
i.e ., 3m + 7w = 1/10 --- equation II
Multiply Equation I*3 and Equation II * 4 we get
12m + 18w =3/8
12m + 28w =4/10 ( now subtract)
------------------------------
0 + 10 w = 3/8 -4/10 = 1/40
------------------------------
hence 10 women takes 40 days !
MOHAMED SALEEM said:
1 decade ago
Let us sahre CHAN HOW 1 BECOMES 30/8
32x + 48y = 1 --(1) ----> (1) * 30
960x+1440y=30/8 (since 30*32 =960)
32x + 48y = 1 --(1) ----> (1) * 30
960x+1440y=30/8 (since 30*32 =960)
Srinivas said:
1 decade ago
4x+6y=1/8.
3x+7y=1/10.
Here why you are taking days 1/10 and 1/8?
You mean members=1/days ?
3x+7y=1/10.
Here why you are taking days 1/10 and 1/8?
You mean members=1/days ?
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