document.write( "Question 253585: How do I solve this? Sally can paint a house in 4 hours. It takes John 6 hours to paint the same house. How long does it take them together? \r
\n" ); document.write( "\n" ); document.write( "I am not sure how to set this up.\r
\n" ); document.write( "\n" ); document.write( "Thanks!\r
\n" ); document.write( "\n" ); document.write( "Lisa Comer
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Algebra.Com's Answer #185923 by drk(1908)\"\" \"About 
You can put this solution on YOUR website!
This is job /time. We want the job over time for Sally and for John. We want the time together, x. So we have
\n" ); document.write( "(1/4)x + (1/6)x = 1
\n" ); document.write( "step 1 - multiply by 12 to get
\n" ); document.write( "3x + 2x = 12
\n" ); document.write( "5x = 12
\n" ); document.write( "x = 12/5.
\n" ); document.write( "2.4 hours.
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