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 \n" ); document.write( "

Algebra.Com's Answer #185924 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
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?
\n" ); document.write( "------------------------------------
\n" ); document.write( "Sally's rate: 1/4 job/hr
\n" ); document.write( "John's rate: 1/6 job/hr
\n" ); document.write( "Together rate: 1/x job/hr
\n" ); document.write( "----------------------------
\n" ); document.write( "Equation:
\n" ); document.write( "rate + rate = together rate
\n" ); document.write( "1/4 + 1/6 = 1/x
\n" ); document.write( "Multiply thru by 12x
\n" ); document.write( "3x + 2x = 12
\n" ); document.write( "5x = 12
\n" ); document.write( "x = 12/5 = 2.4 hrs (time to do the job if Sally and John work together.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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