If a job can be completed by two people in 40 hours, how many days will it take if five people are doing the job?

To determine how many days it will take for five people to complete the same job that two people can finish in 40 hours, we first calculate the total amount of work represented in person-hours. If two people can complete the job in 40 hours, the total work can be expressed as:

Total work = Number of people × Time = 2 people × 40 hours = 80 person-hours.

Now, if five people are working on the job, we can find out how many hours it will take them to complete the same amount of work. Since the total amount of work remains the same (80 person-hours), and now we have five people working, the time it takes to complete the job can be calculated as:

Time = Total work / Number of people = 80 person-hours / 5 people = 16 hours.

Next, to convert this into days, knowing that a typical workday consists of 8 hours:

Days = Total time / Hours in a day = 16 hours / 8 hours per day = 2 days.

Thus, the correct choice reflects that it will take five people two days to complete the job. This calculation showcases the inverse relationship between the number of workers and the time needed to complete a job