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 #600426 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! John can finish a work in 8days and peter can finish that same work in 6days. \n" ); document.write( "They worked together for 2days and peter left. \n" ); document.write( "How long will it take John to finish the work himself? \n" ); document.write( ": \n" ); document.write( "let t = time for John to finish the job \n" ); document.write( "let the completed job = 1 \n" ); document.write( ": \n" ); document.write( "Peter works 2 days \n" ); document.write( "John works (t+2) days \n" ); document.write( ": \n" ); document.write( "A shared work equation, each does a fraction of the job, the two fractions add up to 1 \n" ); document.write( " \n" ); document.write( "multiply equation by least common multiple, 24; cancel the denominators \n" ); document.write( "3(t+2) + 4(2) = 24 \n" ); document.write( "3t + 6 + 8 = 24 \n" ); document.write( "3t = 24 - 14 \n" ); document.write( "t = 10/3 \n" ); document.write( "t = 3.33 additional hrs for John to finish the job (3 hrs 20 min) \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this (John work a total of 5.33 hrs) \n" ); document.write( " \n" ); document.write( ".667 + 333 = 1.0 \n" ); document.write( " \n" ); document.write( " |