document.write( "Question 514762: The big man could do 1/3 of a job in 4 hours. The little man could do 1/2 of the job in 2 hours. If the little man needed to complete 30 jobs and worked for 2 hours alone and then was joined by the big man, how long did it take both of them to finish the remaining jobs? \n" ); document.write( "
Algebra.Com's Answer #343564 by josmiceli(19441)\"\" \"About 
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The big man can do 1/3 of a job in 4 hours
\n" ); document.write( "To do 3 times this amount of work, takes
\n" ); document.write( "him 3 times as long
\n" ); document.write( "So to do \"+3%2A%281%2F3%29+=+1+\" job takes \"+4%2A3+=+12+\" hrs
\n" ); document.write( "---------------
\n" ); document.write( "The little man can do 1/2 a job in 2 hrs
\n" ); document.write( "and also \"+2%2A%281%2F2%29+=+1+\" job in 4 hrs
\n" ); document.write( "So there is \"+30+-+1%2F2+=+29.5+\" jobs left to do
\n" ); document.write( "Now the big man joins him
\n" ); document.write( "------------
\n" ); document.write( "Add their rates of working to get their rate
\n" ); document.write( "working together
\n" ); document.write( "\"++1%2F12+%2B+1%2F4+=+29.5%2Fx+\"
\n" ); document.write( "Multiply both sides by \"+12x+\"
\n" ); document.write( "\"+x+%2B+3x+=+354+\"
\n" ); document.write( "\"+4x+=+354+\"
\n" ); document.write( "\"+x+=+88.5+\"
\n" ); document.write( "It takes them 88 and 1/2 hrs to finish the jobs
\n" ); document.write( "working together
\n" ); document.write( "
\n" );