Question

It took 10 project team members 6 hours to complete a project. Working at the same rate, how many additional project team members would need to have worked on the project for it to take 1 hour less?

a) 1 additional team member
b) 2 additional team members
c) 3 additional team members
d) 4 additional team members

Answer 1

Two additional team members are needed to complete the project in 5 hours, reducing the original 6-hour timeframe by 1 hour.

Step-by-step explanation:

The project initially took 10 team members 6 hours to complete. To find out how many additional team members are needed to complete the project in 5 hours (which is 1 hour less), we must first calculate the total person-hours of work done on the project. This is the number of team members multiplied by the number of hours worked, so 10 members × 6 hours = 60 person-hours.

If the project needs to be completed in 5 hours instead of 6, we divide the total person-hours by the new time frame: 60 person-hours ÷ 5 hours = 12 team members needed. Since there were originally 10 team members, we need an additional 2 team members to complete the project in 5 hours.

Therefore, the correct answer is: b) 2 additional team members.