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If 6 workers can build a wall in 8 days, how many workers are needed to build th

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Question: If 6 workers can build a wall in 8 days, how many workers are needed to build the wall in 4 days?

Options:

  1. 8 workers
  2. 10 workers
  3. 12 workers
  4. 14 workers

Correct Answer: 12 workers

Solution:

Work = 6 workers * 8 days = 48 worker-days. To finish in 4 days, needed = 48 worker-days / 4 days = 12 workers.

If 6 workers can build a wall in 8 days, how many workers are needed to build th

Practice Questions

Q1
If 6 workers can build a wall in 8 days, how many workers are needed to build the wall in 4 days?
  1. 8 workers
  2. 10 workers
  3. 12 workers
  4. 14 workers

Questions & Step-by-Step Solutions

If 6 workers can build a wall in 8 days, how many workers are needed to build the wall in 4 days?
  • Step 1: Calculate the total amount of work needed to build the wall. This is done by multiplying the number of workers by the number of days they work. So, 6 workers * 8 days = 48 worker-days.
  • Step 2: Determine how many workers are needed to complete the same amount of work in a shorter time. Since we want to finish the work in 4 days, we divide the total work (48 worker-days) by the number of days (4 days). So, 48 worker-days / 4 days = 12 workers.
  • Step 3: Conclude that 12 workers are needed to build the wall in 4 days.
  • Work Rate – Understanding the relationship between the number of workers, the time taken, and the total work done.
  • Unit Conversion – Converting total work into worker-days to find the required number of workers.
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