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If 7 workers can complete a job in 14 days, how many workers are needed to compl

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Question: If 7 workers can complete a job in 14 days, how many workers are needed to complete the job in 7 days?

Options:

  1. 10 workers
  2. 12 workers
  3. 14 workers
  4. 16 workers

Correct Answer: 14 workers

Solution:

7 workers * 14 days = 98 worker-days. For 7 days, needed = 98 / 7 = 14 workers.

If 7 workers can complete a job in 14 days, how many workers are needed to compl

Practice Questions

Q1
If 7 workers can complete a job in 14 days, how many workers are needed to complete the job in 7 days?
  1. 10 workers
  2. 12 workers
  3. 14 workers
  4. 16 workers

Questions & Step-by-Step Solutions

If 7 workers can complete a job in 14 days, how many workers are needed to complete the job in 7 days?
  • Step 1: Understand that 7 workers can finish the job in 14 days.
  • Step 2: Calculate the total amount of work done in 'worker-days'. Multiply the number of workers by the number of days: 7 workers * 14 days = 98 worker-days.
  • Step 3: Now, we want to find out how many workers are needed to finish the same job in 7 days.
  • Step 4: To find the number of workers needed for 7 days, divide the total worker-days by the number of days: 98 worker-days / 7 days = 14 workers.
  • Step 5: Conclusion: You need 14 workers to complete the job in 7 days.
  • Work Rate – Understanding the relationship between the number of workers, the time taken, and the total work done, often expressed in worker-days.
  • Proportionality – Applying the concept of proportionality to determine how changes in the number of workers affect the time required to complete a job.
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