document.write( "Question 979136: John can finish a work in 8days and peter can finish that same work in 6days.They worked together for 2days and peter left..How long will it take John to finish the work himself? \n" ); document.write( "
Algebra.Com's Answer #600425 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
John's rate of working is:
\n" ); document.write( "[ 1 job ] / [ 8 days ]
\n" ); document.write( "Peter's rate of working:
\n" ); document.write( "[ 1 job ] / [ 6 days ]
\n" ); document.write( "---------------------
\n" ); document.write( "Add their rates of working to
\n" ); document.write( "get their rate working together
\n" ); document.write( "Let \"+x+\" = the fraction of the
\n" ); document.write( "job they finish working together
\n" ); document.write( "for 2 days
\n" ); document.write( "\"+1%2F8+%2B+1%2F6+=+x%2F2+\"
\n" ); document.write( "Multiply both sidfes by \"+24+\"
\n" ); document.write( "\"+3+%2B+4+=+12x+\"
\n" ); document.write( "\"+12x+=+7+\"
\n" ); document.write( "\"+x+=+7%2F12+\"
\n" ); document.write( "That means there is \"+12%2F12+-+7%2F12+=+5%2F12+\"
\n" ); document.write( "of the job remaining
\n" ); document.write( "----------------------
\n" ); document.write( "Let \"+t+\" = time in days for John to
\n" ); document.write( "finish the job by himself
\n" ); document.write( "\"+1%2F8+=+%28+5%2F12+%29%2Ft+\"
\n" ); document.write( "\"+1%2F8+=+5%2F%28%2812t%29%29+\"
\n" ); document.write( "Multiply both sides by \"+24t+\"
\n" ); document.write( "\"+3t+=+10+\"
\n" ); document.write( "\"+t+=+10%2F3+\"
\n" ); document.write( "John can finish the job in 3 and 1/3 days working alone
\n" ); document.write( "Hope I got it\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );