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?

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.

RELATED QUESTIONS
Please help with the following problem: It takes 18 electricians 35 days to wire a new (answered by jorel555)

It takes 10 electricians 6 hours to wire a small house, how many electricians working at (answered by richwmiller,greenestamps)

The time required to complete a job varies inversely as the number of people working. It... (answered by fractalier)

Three electricians are wiring your new home. Electrician 1 by himself will need 11 days... (answered by Boreal)

an electrician can install the electric wires in a house in 14 hours.a second electrician (answered by edjones)

While building the addition to Ponderosa High School, the electricians found that it took (answered by greenestamps)

It takes 24 days for 8 workers to complete painting a building, how many days will it... (answered by josgarithmetic)

If it takes 6 men to complete a job in 12 days, how many men would it take to complete... (answered by richwmiller)

It takes 20 workers a total of 30 days to pave a highway. How many days would it take 15... (answered by josgarithmetic,askhari139)