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 11 of 11.
Sneha said:
2 decades ago
Please help in solving (i) and (ii).
Shehina said:
2 decades ago
Hi Nagu Thank you
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.
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..
Shehina said:
2 decades ago
How 1/40 become 40?
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
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