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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) (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.
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