Florida Teacher Certification Examinations (FTCE) Subject Area Practice Test

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If a group of students completes 30% of a project in 12 hours, how long to finish the project?

  1. 20 hours

  2. 30 hours

  3. 40 hours

  4. 50 hours

The correct answer is: 40 hours

To determine how long it will take to finish the project after completing 30% of it in 12 hours, first calculate the total time needed to complete the entire project. Since the students have completed 30% of the project in 12 hours, we can find out how long it takes for 1% of the project. This is done by dividing the time spent by the percentage completed: 12 hours ÷ 30% = 12 hours ÷ 0.30 = 40 hours. This means that the total time required to finish the entire project is 40 hours. Next, since the group has already completed 30% of the project, they only need to finish the remaining 70%. To find out how much longer it will take, calculate the time needed for 70%: 40 hours × 70% = 40 hours × 0.70 = 28 hours. Therefore, since they have already spent 12 hours, the remaining time to finish the project is: 40 hours - 12 hours = 28 hours. Given that the answer should reflect the total time to complete the project rather than the remaining time, we confirm that the entire project will take 40 hours to complete. The

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