Multiple choice

If $200$ students take $40$ days to complete the project, how much time will be taken by $250$ students?

  1. $31$ days
  2. $32$ days
  3. $23$ days
  4. $21$ days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

This is an inverse proportion problem. The total work is 200 students * 40 days = 8000 student-days. Dividing this by 250 students gives 8000 / 250 = 32 days.

AI explanation

Using the inverse proportion formula between the number of workers and the time taken, we have students multiplied by days equal to a constant. The equation is 200 * 40 = 250 * x. Solving for x gives 8000 / 250, which equals 32 days. The correct result is 32 days.

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