SOLUTION: The time required to accomplish a task varies inversely as the number of people working on the task. It takes 6 hours for 20 people to put a new roof on a porch. How long would it
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Question 641403: The time required to accomplish a task varies inversely as the number of people working on the task. It takes 6 hours for 20 people to put a new roof on a porch. How long would it take 30 people to do the same job? Answer by ptaylor(2198) (Show Source):
You can put this solution on YOUR website! Inverse variation means that t=k/n where t is time, n is number of people working on the job and k is the constant of proportionality. First, we need to find the value of k and the problem allows us to do that:
6=k/20
Solving for k, we get:
k=120
Now for our problem:
t=120/30
t=4 hours---time required for 30 people to do the job.
CK
4=k/30
k=120
Hope this helps---ptaylor
