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

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

• A. 30 hours
• B. 40 hours
• C. 60 hours
• D. 20 hours

Answer: (B)

To find out how many total hours it will take for the students to finish the project, we can first determine their rate of work based on the information given. If the group of students completed 30% of the project in 12 hours, we can use this to figure out the total time for 100% completion. First, we calculate how much of the project they complete in an hour. Since they completed 30% of the project in 12 hours, we can find their completion rate per hour: 30% of the project takes 12 hours, so they complete: \[ \text{Rate} = \frac{30\%}{12 \text{ hours}} = \frac{0.30}{12} = 0.025 \text{ (or 2.5% of the project per hour)} \] Next, we want to find out how many total hours it takes to complete 100% of the project. Since they are working at a rate of 2.5% per hour, we can set up the equation to find the total hours (let’s represent it as \( x \)). To complete the full project (100%), we write: \[ 100\% = \text

To find out how many total hours it will take for the students to finish the project, we can first determine their rate of work based on the information given. If the group of students completed 30% of the project in 12 hours, we can use this to figure out the total time for 100% completion.

First, we calculate how much of the project they complete in an hour. Since they completed 30% of the project in 12 hours, we can find their completion rate per hour:

30% of the project takes 12 hours, so they complete:

[

\text{Rate} = \frac{30%}{12 \text{ hours}} = \frac{0.30}{12} = 0.025 \text{ (or 2.5% of the project per hour)}

]

Next, we want to find out how many total hours it takes to complete 100% of the project. Since they are working at a rate of 2.5% per hour, we can set up the equation to find the total hours (let’s represent it as ( x )).

To complete the full project (100%), we write:

[

100% = \text