A team of 5 people can finish a project in 12 days. How long will it take for 3

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Question: A team of 5 people can finish a project in 12 days. How long will it take for 3 people to finish the same project?

Options:

Correct Answer: 25 days

Solution:

Total work = 5 * 12 = 60 man-days. 3 people will take 60/3 = 20 days.

A team of 5 people can finish a project in 12 days. How long will it take for 3 people to finish the same project?

A team of 5 people can finish a project in 12 days. How long will it take for 3 people to finish the same project?

Step 1: Understand that 'man-days' means the total amount of work done by a person in one day.
Step 2: Calculate the total work done by the team of 5 people in 12 days. This is done by multiplying the number of people by the number of days: 5 people * 12 days = 60 man-days.
Step 3: Now, we know the total work needed to finish the project is 60 man-days.
Step 4: To find out how long it will take for 3 people to finish the same project, divide the total work (60 man-days) by the number of people (3): 60 man-days / 3 people = 20 days.
Step 5: Therefore, it will take 3 people 20 days to finish the project.

Work Rate – Understanding how to calculate total work based on the number of people and time taken, and how to adjust for different team sizes.
Man-Days – The concept of man-days as a unit of work, which combines the number of workers and the time they work.