If 4 people can complete a project in 12 days, how many people are needed to com

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Question: If 4 people can complete a project in 12 days, how many people are needed to complete the project in 6 days?

Options:

Correct Answer: 8 people

Solution:

If 4 people take 12 days, then to complete in 6 days, we need 4 * 12 / 6 = 8 people.

If 4 people can complete a project in 12 days, how many people are needed to complete the project in 6 days?

If 4 people can complete a project in 12 days, how many people are needed to complete the project in 6 days?

Step 1: Understand that 4 people can finish the project in 12 days.
Step 2: Calculate the total amount of work done in person-days. This is 4 people * 12 days = 48 person-days.
Step 3: Determine how many days we want to complete the project in. Here, we want to finish in 6 days.
Step 4: To find out how many people are needed to complete the same amount of work (48 person-days) in 6 days, use the formula: Number of people = Total work (person-days) / Days available.
Step 5: Plug in the numbers: Number of people = 48 person-days / 6 days = 8 people.
Step 6: Conclude that 8 people are needed to complete the project in 6 days.

Work Rate – Understanding the relationship between the number of workers, the time taken, and the total work done.
Inverse Proportionality – Recognizing that as the number of days decreases, the number of people required increases proportionally.