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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?

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1. 

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-sym-oparen-h1 1 x 10 1-sym-cparen-h1 = 1 .
400 40

Hence, 10 women will complete the work in 40 days.

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