document.write( "Question 262977: Jun can finish an accounting work in 8 hrs. Leo can finish the same work in 6 hrs. After 2 hours of working together, jun left Leo for lunch and Leo finished the job. How long does it take Leo to finish the job? \n" ); document.write( "
Algebra.Com's Answer #193728 by ptaylor(2198)\"\" \"About 
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Let x=amount of time needed for Leo to finish the job
\n" ); document.write( "Jun works at the rate of 1/8 job per hour
\n" ); document.write( "Leo works at the rate of 1/6 job per hour
\n" ); document.write( "Together, Jun and Leo work at the rate of 1/8 + 1/6=3/24 + 4/24=7/24 job per hour
\n" ); document.write( "In two hours, working together, Jun and Leo complete(7/24)*2=14/24=7/12 of the job leaving 5/12 of the job for Leo to finish. So our equation to solve is:
\n" ); document.write( "(1/6)x=5/12 multiply each term by 12
\n" ); document.write( "2x=5
\n" ); document.write( "x=2.5 hours----------------time needed for Leo to finish\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "(7/24)*2+(1/6)*2.5=1 (1 job, that is)
\n" ); document.write( "7/12+5/12=1
\n" ); document.write( "1=1\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor
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