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If 8 workers can build a wall in 12 days, how many days will it take for 4 worke

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Question: If 8 workers can build a wall in 12 days, how many days will it take for 4 workers to build the same wall?

Options:

  1. 24 days
  2. 30 days
  3. 36 days
  4. 48 days

Correct Answer: 36 days

Solution:

If 8 workers take 12 days, then 4 workers will take 12 * (8/4) = 24 days.

If 8 workers can build a wall in 12 days, how many days will it take for 4 worke

Practice Questions

Q1
If 8 workers can build a wall in 12 days, how many days will it take for 4 workers to build the same wall?
  1. 24 days
  2. 30 days
  3. 36 days
  4. 48 days

Questions & Step-by-Step Solutions

If 8 workers can build a wall in 12 days, how many days will it take for 4 workers to build the same wall?
  • Step 1: Understand that 8 workers can build the wall in 12 days.
  • Step 2: Determine how many times fewer workers there are when using 4 workers instead of 8 workers. This is 8 divided by 4, which equals 2.
  • Step 3: Since there are 2 times fewer workers, it will take 2 times longer to build the wall.
  • Step 4: Multiply the original time (12 days) by 2 to find the new time for 4 workers. This is 12 days * 2 = 24 days.
  • Step 5: Conclude that it will take 4 workers 24 days to build the same wall.
  • Work Rate – Understanding how the number of workers and the time taken to complete a task are inversely related.
  • Proportionality – Applying the concept of proportionality to determine how changes in the number of workers affect the time required to complete a task.
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