Discussion :: Time and Work
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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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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.
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