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A construction project is planned to be completed in 60 days. If 3 workers are a

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Question: A construction project is planned to be completed in 60 days. If 3 workers are assigned and they complete 1/4 of the work in 15 days, how many more workers are needed to finish the project in time?

Options:

  1. 3
  2. 4
  3. 2
  4. 1

Correct Answer: 4

Solution: 

In 15 days, 3 workers complete 1/4 of the work. The remaining work is 3/4, which needs to be completed in 45 days. The total work is 3 * 15 = 45 worker-days. To finish 3/4 of the work (which is 45 worker-days), we need 45 / 45 = 1 worker. So, 3 more workers are needed.

A construction project is planned to be completed in 60 days. If 3 workers are a

Practice Questions

Q1
A construction project is planned to be completed in 60 days. If 3 workers are assigned and they complete 1/4 of the work in 15 days, how many more workers are needed to finish the project in time?
  1. 3
  2. 4
  3. 2
  4. 1

Questions & Step-by-Step Solutions

A construction project is planned to be completed in 60 days. If 3 workers are assigned and they complete 1/4 of the work in 15 days, how many more workers are needed to finish the project in time?
  • Step 1: Understand that the project is planned to be completed in 60 days.
  • Step 2: Note that 3 workers complete 1/4 of the work in 15 days.
  • Step 3: Calculate the remaining work. Since 1/4 is done, the remaining work is 3/4.
  • Step 4: Determine how many days are left to complete the project. 60 days total - 15 days already used = 45 days remaining.
  • Step 5: Calculate the total work done by the 3 workers in 15 days. This is 3 workers * 15 days = 45 worker-days.
  • Step 6: Since 1/4 of the work is done, the total work for the project is 45 worker-days * 4 = 180 worker-days.
  • Step 7: Calculate the remaining work in worker-days. The remaining 3/4 of the work is 180 worker-days * 3/4 = 135 worker-days.
  • Step 8: Determine how many workers are needed to complete the remaining work in 45 days. Divide the remaining work by the number of days left: 135 worker-days / 45 days = 3 workers needed.
  • Step 9: Since there are already 3 workers assigned, calculate how many more workers are needed: 3 workers needed - 3 workers already assigned = 0 more workers needed.
  • Work Rate Calculation – Understanding how to calculate the amount of work completed by a certain number of workers over a specific time period.
  • Proportional Work Distribution – Applying the concept of proportionality to determine how much work remains and how many workers are needed to complete it in the given time.
  • Time Management in Projects – Recognizing the importance of time constraints in project completion and how to adjust workforce accordingly.
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