document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=472712>Question 472712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need your help.. please solve this problem:<BR>\n" );
document.write( "June can finish an accounting work in 8 hours . While Leo can do the same job in 6 hours. After 2 hours of working together, June left Leo for lunch and Leo finished the job. FIND THE AMOUNT OF TIME FOR LEO TO FINISH THE JOB..<BR>\n" );
document.write( "thanks so much! ^^ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324069 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=324069\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rate * time = number of units of work<BR>\n" );
document.write( "that's the formula to solve this type of problem.<BR>\n" );
document.write( "june can finish the job in 8 hours working alone.<BR>\n" );
document.write( "leo can do the same ob in 6 hours working alone.<BR>\n" );
document.write( "june's rate of work is equal to 1/8 of the job per hour.<BR>\n" );
document.write( "leo's rate of work is equal to 1/6 of the job per hour.<BR>\n" );
document.write( "they worked on the job for 2 hours working together.<BR>\n" );
document.write( "their combined rate is additive.<BR>\n" );
document.write( "the combine rate is 1/8 + 1/6 which is equal to 6/48 + 8/48 = 14/48 of the job per hour.<BR>\n" );
document.write( "working together, the formula becomes:<BR>\n" );
document.write( "rate * time = number of units of work.<BR>\n" );
document.write( "14/48 * 2 = number of units of work.<BR>\n" );
document.write( "number of units of work = 28/48 of the job.<BR>\n" );
document.write( "now june leaves and leo is left to finish the job alone.<BR>\n" );
document.write( "the amount of the job left to be completed is 1 - 28/48 which is equal to 48/48 - 28/48 which is equal to 20/48 of the job.<BR>\n" );
document.write( "leo's rate of work is 1/6 of the job per hour.<BR>\n" );
document.write( "rate * time = number of units of work is the formula you use again.<BR>\n" );
document.write( "this time, though, the figures used are:<BR>\n" );
document.write( "1/6 * T = 20/48<BR>\n" );
document.write( "T is the amount of time in hours.<BR>\n" );
document.write( "Solve for T to get:<BR>\n" );
document.write( "T = (20/48) / (1/6) which is equal to 20/48 * 6 which is equal to 120/48 which is equal to 2.5 hours which is equal to 2 hours and 30 minutes.<BR>\n" );
document.write( "they worked together for 2 hours and leo finished the job in an additional 2 and 1/2 hours for a total of 4 and 1/2 hours.<BR>\n" );
document.write( "let's see if this is right.<BR>\n" );
document.write( "back to the formula:<BR>\n" );
document.write( "rate * time = number of units of work.<BR>\n" );
document.write( "their combined rate was 1/6 + 1/8 = 14/48 of the job per hour.<BR>\n" );
document.write( "they worked together for 2 hours to complete 28/48 of the job.<BR>\n" );
document.write( "leo's rate was 1/6 of the job per hour.<BR>\n" );
document.write( "he worked for 2.5 hours to complete 1/6 * 2.5 = 5/12 of the job.<BR>\n" );
document.write( "5/12 is equivalent to 20/48.<BR>\n" );
document.write( "28/48 and 20/48 is equal to 48/48 which is equal to 1 which is the total number of units that needed to be produced, so the job is done.<BR>\n" );
document.write( "leo took 2 hours and a half to finish the job.<BR>\n" );
document.write( " </SPAN>\n" );
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