document.write( "Question 517460: Please, I need help setting this prob up...this is college pre-algebr extra credit. \r
\n" ); document.write( "\n" ); document.write( "Painter A paints a house in 3 days
\n" ); document.write( "Painter B paints a house in 5 days
\n" ); document.write( "How long would it take if they painted together?\r
\n" ); document.write( "\n" ); document.write( "So I know it takes B 2 more days than A so is it something like B+2=?? or 1/3+1/5=X \n" ); document.write( "
Algebra.Com's Answer #344788 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
close
\n" ); document.write( "We know it has to be less than 3 days since painter a can do it alone in three days.\r
\n" ); document.write( "\n" ); document.write( "x/3+x/5=1
\n" ); document.write( "Why 1?
\n" ); document.write( "One is the whole job.
\n" ); document.write( "In one day painter a does 1/3 of the job and painter b does 1/5 of the job.\r
\n" ); document.write( "\n" ); document.write( "In x days painter a does x/3 and painter b does x/5 of the job.\r
\n" ); document.write( "\n" ); document.write( "5x+3x=15
\n" ); document.write( "8x=15
\n" ); document.write( "x=15/8
\n" ); document.write( "x=1 7/8 days
\n" ); document.write( "Assuming a work day is 8 hours, it will take 15 hours together.
\n" ); document.write( " \n" ); document.write( "
\n" );