If 8 people can finish a project in 12 days, how many people are needed to finis

₹0.0

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

Options:

Correct Answer: 16 people

Solution:

Work done = People * Days. 8 * 12 = 96 person-days. To finish in 6 days, needed = 96 / 6 = 16 people.

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

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

Step 1: Understand that 'person-days' means the total amount of work done by people over days.
Step 2: Calculate the total work done by the 8 people in 12 days. This is done by multiplying the number of people by the number of days: 8 people * 12 days = 96 person-days.
Step 3: Now, we want to find out how many people are needed to finish 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 days): 96 person-days / 6 days = 16 people.
Step 5: Therefore, 16 people are needed to finish the project in 6 days.

Work Rate – Understanding the relationship between the number of people, the time taken, and the total work done.
Unit Conversion – Converting the total work into person-days to find the required number of people.