108. 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?

[A]. 35
[B]. 40
[C]. 45
[D]. 50
✅ The correct answer is option B.
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.

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