It takes 15 electricians 24 days to wire a new housing subdivision. How many days would 18 electricians take to do the same job? Thank You for all who answered this question!

To solve this problem, we can use the concept of man-days. The number of man-days required to wire the new housing subdivision is calculated by multiplying the number of electricians by the number of days.

Given that 15 electricians take 24 days, the total man-days for this job would be 15 electricians x 24 days = 360 man-days.

Now, to determine how many days it would take 18 electricians to do the same job, we divide the total man-days (360) by the number of electricians (18):

360 man-days ÷ 18 electricians = 20 days

Therefore, it would take 18 electricians 20 days to wire the new housing subdivision.

To find the number of days it would take 18 electricians to wire the new housing subdivision, you can set up a proportional relationship based on the number of electricians.

First, let's establish the relationship between the number of electricians and the number of days needed to complete the job. From the given information, we know that it takes 15 electricians 24 days to wire the subdivision. This can be represented as:

15 electricians take 24 days

Now, we can set up a proportion using this relationship. The idea behind a proportion is that the ratio of the number of electricians to the number of days should remain constant, regardless of the actual values. So, we set up the proportion as follows:

15/24 = 18/x

In this proportion, x represents the number of days needed when there are 18 electricians. By cross-multiplying and solving for x, we can determine the answer:

15x = 18 * 24

15x = 432

x = 432 / 15

x ≈ 28.8

Therefore, it would take approximately 28.8 days for 18 electricians to complete the job. Since days cannot be fractional, we round up to the nearest whole number.

Hence, 18 electricians would take approximately 29 days to wire the new housing subdivision.

This is a problem regarding proportions!

(15/24) = (18/x)

Doing some algebra, we can multiply the numerators (electricians) and denominators (days) to solve for x:

15*18 = 24x
270 = 24x
x = 11.25 days