document.write( "Question 900147: Tom can finish a piece of work in 11 days. After he has worked for 2 days, Mike joins him and together they finish the work in 6 more days. In how many days could Mike finish the work by himself? \n" ); document.write( "
Algebra.Com's Answer #545816 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Tom can finish a piece of work in 11 days. After he has worked for 2 days, Mike joins him and together they finish the work in 6 more days. In how many days could Mike finish the work by himself?
\n" ); document.write( "***
\n" ); document.write( "let x=number of days Mike could finish the work by himself
\n" ); document.write( "1/x=Mike's work rate
\n" ); document.write( "1/11=Tom's work rate
\n" ); document.write( "6(1/x)+8(1/11)=1
\n" ); document.write( "6/x+8/11=1
\n" ); document.write( "6/x=1-8/11=11/11-8/11=3/11
\n" ); document.write( "x/6=11/3
\n" ); document.write( "3x=66
\n" ); document.write( "x=22
\n" ); document.write( "number of days Mike could finish the work by himself=22
\n" ); document.write( "
\n" );