document.write( "Question 198212: If sally can paint a house in 4 hours and john can paint the same house in 6 hours how long will it take for both of them to paint the house together? \n" ); document.write( "

Algebra.Com's Answer #148678 by josmiceli(19441) $\"\"$ $\"About$

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In words:
\n" ); document.write( "sally's rate of painting is (1 house) / (4 hours)
\n" ); document.write( "John's rate of painting is (1 house) / (6 hours)
\n" ); document.write( "If I add the rates, I get the rate of both
\n" ); document.write( "working together
\n" ); document.write( " $\"1%2F4+%2B+1%2F6+=+1%2Fx\"$
\n" ); document.write( "Multiply both sides by $\"12x\"$
\n" ); document.write( " $\"3x+%2B+2x+=+12\"$
\n" ); document.write( " $\"5x+=+12\"$
\n" ); document.write( " $\"x+=+2.4\"$
\n" ); document.write( "Working together, they can paint the house in 2.4 hours \n" ); document.write( "

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