document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #403643 by ptaylor(2198) $\"\"$ $\"About$

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:
\n" ); document.write( "6=k/20
\n" ); document.write( "Solving for k, we get:
\n" ); document.write( "k=120
\n" ); document.write( "Now for our problem:
\n" ); document.write( "t=120/30
\n" ); document.write( "t=4 hours---time required for 30 people to do the job.\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "4=k/30
\n" ); document.write( "k=120\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( "

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