Multiple choice

A work could be completed in $100$ days by some workers. However, due to absence of $10$ workers, it was completed in $110$ days. The original number of workers was

  1. $100$
  2. $110$
  3. $55$
  4. $50$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let x be the original number of workers. Work = 100x. With 10 fewer workers, the work is completed in 110 days: 110(x - 10) = 100x. 110x - 1100 = 100x, so 10x = 1100, x = 110.

AI explanation

Let the original number of workers be $W$, and using the formula for constant worker-days, we have $W \times 100 = (W - 10) \times 110$. Expanding this gives $100W = 110W - 1100$, which simplifies to $10W = 1100$; solving this shows the original number of workers was 110.

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