If 8 people can complete a project in 12 days, how many people are needed to com

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Question: If 8 people can complete a project in 12 days, how many people are needed to complete the project in 6 days?

Options:

Correct Answer: 16 people

Solution:

If 8 people take 12 days, then the total work is 8 * 12 = 96 person-days. To complete in 6 days, needed people = 96 / 6 = 16 people.

If 8 people can complete a project in 12 days, how many people are needed to complete the project in 6 days?

If 8 people can complete a project in 12 days, how many people are needed to complete the project in 6 days?

Step 1: Understand that 8 people can complete the project in 12 days.
Step 2: Calculate the total amount of work done in person-days. Multiply the number of people (8) by the number of days (12). This gives us 8 * 12 = 96 person-days.
Step 3: Now, we want to find out how many people are needed to complete the same amount of work (96 person-days) in 6 days.
Step 4: To find the number of people needed, divide the total work (96 person-days) by the number of days (6). This gives us 96 / 6 = 16 people.
Step 5: Conclude that 16 people are needed to complete the project in 6 days.

Work and Time Relationship – This concept involves understanding how the amount of work is related to the number of people and the time taken to complete a task.
Unitary Method – This method is used to find the number of people required by calculating the total work in person-days and dividing it by the desired time.