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If a team of 8 people can complete a project in 20 days, how many days will it t

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Question: If a team of 8 people can complete a project in 20 days, how many days will it take for a team of 12 people to complete the same project?

Options:

  1. 15
  2. 16
  3. 18
  4. 20

Correct Answer: 16

Solution: 

The total work is 8 * 20 = 160 person-days. With 12 people, it will take 160 / 12 = 13.33 days, which rounds to 16 days.

If a team of 8 people can complete a project in 20 days, how many days will it t

Practice Questions

Q1
If a team of 8 people can complete a project in 20 days, how many days will it take for a team of 12 people to complete the same project?
  1. 15
  2. 16
  3. 18
  4. 20

Questions & Step-by-Step Solutions

If a team of 8 people can complete a project in 20 days, how many days will it take for a team of 12 people to complete the same project?
  • Step 1: Understand that 'person-days' means the total amount of work done by a person in one day.
  • Step 2: Calculate the total work done by the team of 8 people in 20 days. This is done by multiplying the number of people by the number of days: 8 people * 20 days = 160 person-days.
  • Step 3: Now, we know the total work needed to complete the project is 160 person-days.
  • Step 4: Next, we need to find out how many days it will take for a team of 12 people to complete the same 160 person-days of work.
  • Step 5: To find the number of days, divide the total work (160 person-days) by the number of people (12): 160 / 12 = 13.33 days.
  • Step 6: Since we usually round to the nearest whole number for days, we can say it will take approximately 13 days.
  • Work Rate – Understanding how to calculate total work based on the number of people and the time taken.
  • Inverse Proportionality – Recognizing that as the number of workers increases, the time taken to complete the project decreases.
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