document.write( "Question 311314: Stever can tape and mud the drywall of a room in 6 hours. Mike can do it in 4 hours. Mike joins Steve an hour after Steve starts and together they worked finishing the job. How long did each one work? \n" ); document.write( "
Algebra.Com's Answer #222827 by ankor@dixie-net.com(22740)\"\" \"About 
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Steve can tape and mud the drywall of a room in 6 hours.
\n" ); document.write( " Mike can do it in 4 hours.
\n" ); document.write( " Mike joins Steve an hour after Steve starts and together they worked finishing the job.
\n" ); document.write( " How long did each one work?
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\n" ); document.write( "Let t = Mikes working time
\n" ); document.write( "then
\n" ); document.write( "(t+1) = Steve's working time
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\n" ); document.write( "Let the completed job = 1
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\n" ); document.write( "A shared work equation
\n" ); document.write( "\"%28t%2B1%29%2F6\" + \"t%2F4\" = 1
\n" ); document.write( "multiply equation by 12, results
\n" ); document.write( "2(t+1) + 3t = 12
\n" ); document.write( ":
\n" ); document.write( "2t + 2 + 3t = 12
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\n" ); document.write( "2t + 3t = 12 - 2
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\n" ); document.write( "5t = 10
\n" ); document.write( "t = \"10%2F5\"
\n" ); document.write( "t = 2 hrs is Mike's working time
\n" ); document.write( "and
\n" ); document.write( "2 + 1 = 3 hrs is Steve's working time
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution
\n" ); document.write( "\"3%2F6\" + \"2%2F4\" = 1
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