Question

It takes 24 electricians 36 days to wire a new housing subdivision. How many days would 32 electricians take to do the same job?

Answer 1

Answer:

The 32 electricians are expected to finish the job in 27 days.

Step-by-step explanation:

In this case we can apply a rule of three to calculate the time it'll take for the 32 electricians to finish the job. This is done below:

24 electricians -> 36 days

32 electricians -> x days

We have to be careful here, since the variables are inversely proportional, since if there are more electricians working on the same job, we expect the job to be finished in fewer days, therefore we need to invert one of the fractions as shown below:

$\frac{24}{32} = \frac{x}{36}\\32*x = 36*24\\x = \frac{864}{32}\\x = 27$

The 32 electricians are expected to finish the job in 27 days.