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 1 of 11.
Kishor said:
2 decades ago
If 4 men and 6 women can complete a work in 8 days
4 men and 1 women can complete a work in=6* 8 days
1 men and 1 women can complete a work in=4*6* 8 days
1 men and 7 women can complete a work in=4*6*8/7 days
3 men and 7 women can complete a work in=4*6*8/(3*7) days
=64/7days
which is not 10 days as given in the question
4 men and 1 women can complete a work in=6* 8 days
1 men and 1 women can complete a work in=4*6* 8 days
1 men and 7 women can complete a work in=4*6*8/7 days
3 men and 7 women can complete a work in=4*6*8/(3*7) days
=64/7days
which is not 10 days as given in the question
Shehina said:
2 decades ago
How 1/40 become 40?
Nagu said:
2 decades ago
Hi Shehina,
10 women's 1 day's work = 1/40 means they will take 40 days to complete a work
for example a man can do a work in 10 days means we will take his one day work as 1/10
like that one day work is 1/40 they should complete it in 40 days.
i think you understood..
10 women's 1 day's work = 1/40 means they will take 40 days to complete a work
for example a man can do a work in 10 days means we will take his one day work as 1/10
like that one day work is 1/40 they should complete it in 40 days.
i think you understood..
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.
Shehina said:
2 decades ago
Hi Nagu Thank you
Sneha said:
2 decades ago
Please help in solving (i) and (ii).
Nagu said:
2 decades ago
You are welcome. Shehina.
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
Poonam said:
2 decades ago
Hii,
Can you please explain.
How comes.
4x + 6y = 1/8 and 3x + 7y = 1/10.
X = 11/400, why = 1/400.
Can you please explain.
How comes.
4x + 6y = 1/8 and 3x + 7y = 1/10.
X = 11/400, why = 1/400.
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
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