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If 4 people can complete a task in 10 days, how many people are needed to comple

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Question: If 4 people can complete a task in 10 days, how many people are needed to complete the task in 5 days?

Options:

  1. 6 people
  2. 8 people
  3. 10 people
  4. 12 people

Correct Answer: 8 people

Solution:

Total work = 4 people * 10 days = 40 person-days. To complete in 5 days, needed people = 40 / 5 = 8 people.

If 4 people can complete a task in 10 days, how many people are needed to comple

Practice Questions

Q1
If 4 people can complete a task in 10 days, how many people are needed to complete the task in 5 days?
  1. 6 people
  2. 8 people
  3. 10 people
  4. 12 people

Questions & Step-by-Step Solutions

If 4 people can complete a task in 10 days, how many people are needed to complete the task in 5 days?
  • Step 1: Understand that 4 people can finish the task in 10 days.
  • Step 2: Calculate the total work done in person-days. Multiply the number of people by the number of days: 4 people * 10 days = 40 person-days.
  • Step 3: Now, we want to find out how many people are needed to finish the same task in 5 days.
  • Step 4: To find the number of people needed, divide the total work (40 person-days) by the number of days (5 days): 40 person-days / 5 days = 8 people.
  • Step 5: Therefore, 8 people are needed to complete the task in 5 days.
  • Work Rate – Understanding the relationship between the number of people, the time taken, and the total work done.
  • Unitary Method – Using the unitary method to find the number of people required based on the time and work.
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