If 5 workers can complete a task in 10 days, how many days will it take for 10 w

Practice Questions

Q1
If 5 workers can complete a task in 10 days, how many days will it take for 10 workers to complete the same task?
  1. 5 days
  2. 10 days
  3. 15 days
  4. 20 days

Questions & Step-by-Step Solutions

If 5 workers can complete a task in 10 days, how many days will it take for 10 workers to complete the same task?
  • Step 1: Understand that 5 workers can complete a task in 10 days.
  • Step 2: Calculate the total work done in worker-days. This is done by multiplying the number of workers by the number of days: 5 workers * 10 days = 50 worker-days.
  • Step 3: Now, we want to find out how many days it will take for 10 workers to complete the same task.
  • Step 4: Use the total work calculated in Step 2 (50 worker-days) and divide it by the number of workers (10 workers): 50 worker-days / 10 workers = 5 days.
  • Step 5: Conclude that it will take 10 workers 5 days to complete the task.
  • Work Rate – Understanding the relationship between the number of workers, the time taken, and the total work done.
  • Proportionality – Recognizing how increasing the number of workers decreases the time required to complete the same task.
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