Question

The number of days it takes a movie crew to set up a stage varies inversely as the number of workers. If the stage can be set up in 3 days by 20 workers, how many days would it take if only 12 workers were available?

Answer 1

EXPLANATION

Stage set up = 3 day ----> 20 workers

Applying the unitary method we can get the number of days would take to 12 workers:

`\text{Number of day}_{12\text{ workers}}=\frac{3\text{ days}}{20\text{ workers}}\cdot\text{ 12 workers=}(36)/(20)\text{days}=(9)/(5)\text{days}=1.8\approx2\text{ days}`

The answer is approximately 2 days