Question

29.4 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 days
(c) 45 days
(b)40 days
(d) 50 days

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Answer 1

Answer:

10 women will complete the work in 40 days.

Answer 2

Let 1 man's 1 day's work =x and 1 woman's 1 day's work =y.

then, 4x + 6y = 1/8

and 3x + 7y = 1/10

solving the two equations we get : x = 11/400 , y = 1/400

thus, 1 women's 1 day's work = 1/400

10 women's 1 day's work = ( 1/400 × 10) = 1/40

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