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 10women complete it
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Answer 1

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 = (1-48y)/32

3( 1-48y)/32 + 7y = 1/10

3 - 144y + 224 =1/10

3 + 80y = 32/10

80y = 2/10

y = 1/400

∴ 1 woman's 1 day's work = 1/400

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

= 40

Hence, 10 women will complete the work in 40 days