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 6 of 11.
Abhi Samrat said:
7 years ago
(4m + 6w)x8 = (3m +7w)x 10.
2m =22w,
1m= 11w,
M/w = 11/1,
Put value
(3m + 7w) x 10.
(3x11 + 7x1) x10.
(33+7)x10.
400.
(10wx1)xd = 400.
D = 400/10.
40days.
2m =22w,
1m= 11w,
M/w = 11/1,
Put value
(3m + 7w) x 10.
(3x11 + 7x1) x10.
(33+7)x10.
400.
(10wx1)xd = 400.
D = 400/10.
40days.
Afia Sharmin said:
1 decade ago
Answer for: 6 men and 8 women can do a work in 18 days. How many days will it require to complete the whole work if 3 men and 5 women work together?
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.. :)
Kermiki Bang said:
6 years ago
Then, 4x + 6y =1/8 and 3x + 7y =1/10.
Solving the two equations,
We get: x = 11/400, y =1/400
Can someone help me with this?
Solving the two equations,
We get: x = 11/400, y =1/400
Can someone help me with this?
Vass said:
2 decades ago
Hi all,
can you please explain
4x + 6y = 1/8 --(1)
3x + 7y = 1/10 --(2)
From (1) and (2) How it comes
x = 11/400 , y = 1/400
can you please explain
4x + 6y = 1/8 --(1)
3x + 7y = 1/10 --(2)
From (1) and (2) How it comes
x = 11/400 , y = 1/400
Bhupendra kumbhare said:
1 decade ago
Hello friends.
Can anyone explain if any other examples in which 3 persons like man, woman and boy replacing by other?
Can anyone explain if any other examples in which 3 persons like man, woman and boy replacing by other?
Zeenat said:
7 years ago
4x +6y= 1/8 ---> eq. (1) --> * 3
3x +7y= 1/10 ---> eq. (2) --> * 4
Then We will get;
10y (women) = 1/40.
Ans. 40days.
3x +7y= 1/10 ---> eq. (2) --> * 4
Then We will get;
10y (women) = 1/40.
Ans. 40days.
Deepak Patgar said:
1 decade ago
Abdul if the supportive statement is not given it can never be solved as we don't know man and woman work proportion.
Nagu said:
2 decades ago
Hi Kishor,
you are wrong. This question is correct and the explanation is also correct.
Please refer once again.
you are wrong. This question is correct and the explanation is also correct.
Please refer once again.
Xxx said:
1 decade ago
LCM of 1/8-3/200 = 440/4000 = 11/100.
How can possible 8, 200 LCM is 4000. I am not understand please explain?
How can possible 8, 200 LCM is 4000. I am not understand please explain?
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