If 6 people can finish a job in 8 days, how many people are needed to finish the

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Question: If 6 people can finish a job in 8 days, how many people are needed to finish the job in 4 days?

Options:

Correct Answer: 12 people

Solution:

6 people take 8 days, so total work = 6 * 8 = 48 person-days. To finish in 4 days, needed people = 48 / 4 = 12 people.

If 6 people can finish a job in 8 days, how many people are needed to finish the job in 4 days?

If 6 people can finish a job in 8 days, how many people are needed to finish the job in 4 days?

Step 1: Understand that 6 people can complete the job in 8 days.
Step 2: Calculate the total amount of work done in person-days. Multiply the number of people by the number of days: 6 people * 8 days = 48 person-days.
Step 3: Now, we want to find out how many people are needed to finish the same job in 4 days.
Step 4: To find the number of people needed, divide the total work (48 person-days) by the number of days (4 days): 48 person-days / 4 days = 12 people.
Step 5: Therefore, 12 people are needed to finish the job in 4 days.

Work Rate – Understanding how to calculate total work in person-days and how to determine the number of people needed based on time constraints.
Proportionality – Applying the concept of proportionality to relate the number of workers to the time taken to complete a job.