Multiple choice

A certain number of women could do a piece of work in 50 days. If there were 10 more women, it would be completed in 4 days less. How many women would do the work in 50 days?

  1. 115

  2. 90

  3. 100

  4. 125

  5. None of these
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A Correct answer
Explanation

Let x be the number of women. Work = x * 50. If there are x+10 women, work = (x+10) * 46. So 50x = 46x + 460. 4x = 460, x = 115.

AI explanation

Let x be the original number of women. Since total work is constant, the equation is 50x = (50 - 4)(x + 10). Expanding the right side gives 50x = 46x + 460. Solving for x, we subtract 46x from both sides to get 4x = 460, which means x = 115. There were originally 115 women.

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