If a group of students completes 30% of a project in 12 hours, how many hours will it take to finish the project?

To determine how many hours it will take to finish the project, it is helpful to first calculate the total time required to complete 100% of the project. Given that the students complete 30% of the project in 12 hours, we can set up a proportion to find the total time.

If 30% of the project takes 12 hours, we can find the time it takes to complete 1% of the project by dividing 12 hours by 30. This calculation gives us 0.4 hours per percent of the project completed.

Next, to find the total hours for completing the entire project (100%), we multiply the time per percent (0.4 hours) by 100. Doing this calculation results in 40 hours.

This amount aligns with the notion that if a certain portion of the total work takes a specific amount of time, we can extrapolate that to get the total time needed to complete the entire task. Thus, the correct conclusion is that it will take a total of 40 hours to finish the project.