Multiple choice

A project was given to some students to be finished in 100 days. But due to some circumstances, 10 students could not take part in the completion of the project and it took 10 more days to get completed. How many students were assigned to complete the project initially?

  1. 110

  2. 80

  3. 340

  4. 220

  5. 155
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A Correct answer
Explanation

Let x be the initial number of students. Total work = 100x. With (x-10) students, it takes 110 days: 110(x-10) = 100x. 110x - 1100 = 100x, so 10x = 1100, x = 110.

AI explanation

Let the initial number of students be x, and let the total work be measured in student-days. The equation for the project is 100x = 110(x - 10), since 10 fewer students take 110 days to complete the same work. Expanding this equation gives 100x = 110x - 1100, which simplifies to 10x = 1100. Solving for x, the initial number of students assigned to the project was 110.

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