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?

Question:
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

Answer: Option B

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.