If a project is planned to take 40 days with 5 workers, how many days will it ta

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Question: If a project is planned to take 40 days with 5 workers, how many days will it take if the number of workers is increased to 10?

Options:

Correct Answer: 20

Solution:

The total work is 5 * 40 = 200 worker-days. With 10 workers, it will take 200 / 10 = 20 days.

If a project is planned to take 40 days with 5 workers, how many days will it take if the number of workers is increased to 10?

If a project is planned to take 40 days with 5 workers, how many days will it take if the number of workers is increased to 10?

Step 1: Calculate the total amount of work needed for the project. This is done by multiplying the number of workers by the number of days they will work. In this case, it's 5 workers * 40 days = 200 worker-days.
Step 2: Now that we know the total work is 200 worker-days, we need to find out how many days it will take if we have 10 workers. To do this, we divide the total work by the number of workers. So, we calculate 200 worker-days / 10 workers.
Step 3: Perform the division: 200 / 10 = 20 days. This means it will take 10 workers 20 days to complete the project.

Work Calculation – Understanding the relationship between the number of workers, the time taken, and the total work done, typically expressed in worker-days.
Proportionality – Applying the concept of inverse proportionality where increasing the number of workers decreases the time required to complete the same amount of work.