SOLUTION: It takes 14 electricians 18 days to wire a new housing subdivision. How many days would it take 24 electricians to do the same job?

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Question 996086: It takes 14 electricians 18 days to wire a new housing subdivision. How many days would it take 24 electricians to do the same job?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
rate per person * number of people * time = quantity.

rate per person is what you want to find first.
number of people is 14 electricians.
time is 18 days.
quantity is 1 job, the job being to wire a new housing subdivision.

formula becomes:

rate per person * 14 * 18 = 1

rate per person = 1 / (14 * 18).

now, if you have 24 electricians working at the same rate per person, then you get:

rate per person * number of people * time = quantity becomes:

1 / (14 * 18) * 24 * time = 1

solve for time to get time = (14 * 18) / 24 = 252 / 24 = 10.5

it would take 24 electricians 10.5 days to do the same job working at the same rate per person.