A team of 4 people can complete a project in 20 days. How long will it take for

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Question: A team of 4 people can complete a project in 20 days. How long will it take for 8 people to complete the same project?

Options:

Correct Answer: 10

Solution:

The total work is 4 * 20 = 80 person-days. With 8 people, it will take 80/8 = 10 days.

A team of 4 people can complete a project in 20 days. How long will it take for 8 people to complete the same project?

A team of 4 people can complete a project in 20 days. How long will it take for 8 people to complete the same project?

Step 1: Understand that 4 people can finish the project in 20 days.
Step 2: Calculate the total work done in person-days. Multiply the number of people (4) by the number of days (20). This gives us 4 * 20 = 80 person-days.
Step 3: Now, we want to find out how long it will take for 8 people to do the same amount of work (80 person-days).
Step 4: Divide the total work (80 person-days) by the number of people (8). This gives us 80 / 8 = 10 days.
Step 5: Conclude that it will take 8 people 10 days to complete the project.

Work Rate – Understanding how to calculate total work based on the number of people and the time taken to complete a project.
Inverse Relationship – Recognizing the inverse relationship between the number of workers and the time taken to complete a project.