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If 6 workers can finish a job in 15 days, how many days will it take for 3 worke

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Question: If 6 workers can finish a job in 15 days, how many days will it take for 3 workers to finish the same job?

Options:

  1. 30 days
  2. 35 days
  3. 40 days
  4. 45 days

Correct Answer: 40 days

Solution: 

Total work = 6 workers * 15 days = 90 worker-days. For 3 workers, days = 90 / 3 = 30 days.

If 6 workers can finish a job in 15 days, how many days will it take for 3 worke

Practice Questions

Q1
If 6 workers can finish a job in 15 days, how many days will it take for 3 workers to finish the same job?
  1. 30 days
  2. 35 days
  3. 40 days
  4. 45 days

Questions & Step-by-Step Solutions

If 6 workers can finish a job in 15 days, how many days will it take for 3 workers to finish the same job?
  • Step 1: Calculate the total amount of work done by the 6 workers in 15 days. This is done by multiplying the number of workers by the number of days: 6 workers * 15 days = 90 worker-days.
  • Step 2: Now, we need to find out how many days it will take for 3 workers to complete the same amount of work. We do this by dividing the total work (90 worker-days) by the number of workers (3 workers): 90 worker-days / 3 workers = 30 days.
  • Work Rate – Understanding how to calculate total work based on the number of workers and the time taken.
  • Inverse Proportionality – Recognizing that as the number of workers decreases, the time taken to complete the job increases.
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