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### Discussion :: Time and Work

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?

2.  A. 35 B. 40 C. 45 D. 50

Explanation :

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

Then, 4x + 6y =$$\frac { 1 } {8 }$$and 3x + 7y =$$\frac { 1 } {10 }$$

Solving the two equations, we get: x =$$\frac { 11 } {400 }$$'y =$$\frac { 1 } {400 }$$

1 woman's 1 day's work =$$\frac { 1 } {400 }$$

10 women's 1 day's work=[$$\frac { 1 } {400 }$$*10]=$$\frac { 1 } {40 }$$

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

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