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If 5 workers can complete a task in 20 days, how many days will it take for 10 w

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Question: If 5 workers can complete a task in 20 days, how many days will it take for 10 workers to complete the same task?

Options:

  1. 10 days
  2. 15 days
  3. 20 days
  4. 25 days

Correct Answer: 10 days

Solution:

Work done is inversely proportional to the number of workers. If 5 workers take 20 days, then 10 workers will take 20/2 = 10 days.

If 5 workers can complete a task in 20 days, how many days will it take for 10 w

Practice Questions

Q1
If 5 workers can complete a task in 20 days, how many days will it take for 10 workers to complete the same task?
  1. 10 days
  2. 15 days
  3. 20 days
  4. 25 days

Questions & Step-by-Step Solutions

If 5 workers can complete a task in 20 days, how many days will it take for 10 workers to complete the same task?
  • Step 1: Understand that if more workers are available, the time taken to complete a task decreases.
  • Step 2: Note that 5 workers can complete the task in 20 days.
  • Step 3: Realize that if you double the number of workers from 5 to 10, the time taken will be halved.
  • Step 4: Calculate the new time by dividing the original time (20 days) by the number of times the workers increased (2).
  • Step 5: Perform the calculation: 20 days / 2 = 10 days.
  • Step 6: Conclude that it will take 10 workers 10 days to complete the same task.
  • Work and Worker Efficiency – Understanding how the number of workers affects the time taken to complete a task, specifically that work done is inversely proportional to the number of workers.
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