Question

A company usually sends 9 workers to install a security system in a school building, and they complete the task in 96 minutes. Today, they only have 3 workers to do the same size job. How much time should be scheduled to complete the job?

Answer 1

To complete the job with 3 workers, it would take 32 minutes.

Step-by-step explanation:

To determine how much time should be scheduled to complete the job with 3 workers, we can use the concept of work rate. In this case, with 9 workers, the work is completed in 96 minutes. Therefore, the work rate of the 9 workers is 1 job/96 minutes. We can use this work rate to calculate the amount of time needed for 3 workers to complete the job. Since we want to find the time, we can set up a proportion:

9 workers / 96 minutes = 3 workers / x minutes

Cross-multiplying, we get:

9 workers * x minutes = 3 workers * 96 minutes

Simplifying, we have:

x = (3 workers * 96 minutes) / 9 workers

Solving for x, we find that x = 32 minutes. Therefore, it would take 3 workers 32 minutes to complete the job.