Question

A landscaper estimates that a set of plants can be installed in 6 hours by 12 workers. The landscaper wants to finish a set of plants in 4 hours. Assuming that the variables are inversely related, how many workers should the landscaper bring to the job?

Answer 1

Answer:

18 workers  should the landscaper bring to the job  to finish a set of plants in 4 hours.

Step-by-step explanation:

As given

Assuming that  a set of plants can be installed in number of hours inversely related to the number of workers.

Let us assume that the number of hours needed for set up a plant be x.

Let us assume that the number of worker needed for setup a plant be y.

Thus

$x \propto \frac{1}{y}$

$x = \frac{k}{y}$

Where k is the constant of proportionality.

As given

A landscaper estimates that a set of plants can be installed in 6 hours by 12 workers.

x = 6 , y = 12

Thus

$6 = \frac{k}{12}$

$6\times 12 = k$

k = 72

As given

The landscaper wants to finish a set of plants in 4 hours.

x = 4 , k = 72

Thus

$4= \frac{72}{y}$

$y= \frac{72}{4}$

y = 18

Therefore 18 workers  should the landscaper bring to the job  to finish a set of plants in 4 hours.

Answer 2

He should actually bring 18 workers for the job.