document.write( "Question 319479: Sarah can paint a house in 6 days and John can paint that same huse in 4 days, how long will it take them both to paint that house working together? \n" ); document.write( "

Algebra.Com's Answer #228767 by stanbon(75887) $\"\"$ $\"About$

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Sarah can paint a house in 6 days and John can paint that same huse in 4 days, how long will it take them both to paint that house working together?
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\n" ); document.write( "Sarah DATA:
\n" ); document.write( "time = 6 day/job ; rate = 1/6 job/day
\n" ); document.write( "---
\n" ); document.write( "John DATA:
\n" ); document.write( "time = 4 day/job ; rate = 1/4 job/day
\n" ); document.write( "-----------
\n" ); document.write( "Together DATA:
\n" ); document.write( "time = x day/job ; rate = 1/x job/day
\n" ); document.write( "------------------------------------------
\n" ); document.write( "Equation:
\n" ); document.write( "rate + rate = together rate
\n" ); document.write( "1/6 + 1/4 = 1/x
\n" ); document.write( "---
\n" ); document.write( "2x + 3x = 12
\n" ); document.write( "---
\n" ); document.write( "5x = 12
\n" ); document.write( "---
\n" ); document.write( "x = 12/5 = 2.4 days (together time)
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\n" ); document.write( "cheers,
\n" ); document.write( "Stan H.
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