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.