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A team of 5 people can complete a task in 15 days. How many days will it take fo

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Question: A team of 5 people can complete a task in 15 days. How many days will it take for 10 people to complete the same task?

Options:

  1. 7.5
  2. 10
  3. 12
  4. 15

Correct Answer: 7.5

Solution:

The total work is 5 * 15 = 75 person-days. With 10 people, it will take 75 / 10 = 7.5 days.

A team of 5 people can complete a task in 15 days. How many days will it take fo

Practice Questions

Q1
A team of 5 people can complete a task in 15 days. How many days will it take for 10 people to complete the same task?
  1. 7.5
  2. 10
  3. 12
  4. 15

Questions & Step-by-Step Solutions

A team of 5 people can complete a task in 15 days. How many days will it take for 10 people to complete the same task?
  • Step 1: Understand that a team of 5 people can finish a task in 15 days.
  • Step 2: Calculate the total work done in person-days. Multiply the number of people (5) by the number of days (15). This gives us 5 * 15 = 75 person-days.
  • Step 3: Now, we want to find out how long it will take for 10 people to complete the same task.
  • Step 4: To find the number of days it will take for 10 people, divide the total work (75 person-days) by the number of people (10). This gives us 75 / 10 = 7.5 days.
  • Step 5: Conclude that it will take 10 people 7.5 days to complete the task.
  • Work Rate – Understanding how to calculate total work based on the number of people and the time taken.
  • Inverse Relationship – Recognizing the inverse relationship between the number of workers and the time taken to complete a task.
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