document.write( "Question 200990: If it takes Sally 4 hours to paint a house and John 6 hours to paint the same house, how long does it take them to paint the house together? \n" ); document.write( "

Algebra.Com's Answer #151242 by stanbon(75887) $\"\"$ $\"About$

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If it takes Sally 4 hours to paint a house and John 6 hours to paint the same house, how long does it take them to paint the house together?
\n" ); document.write( "--------------------------
\n" ); document.write( "Sally DATA:
\n" ); document.write( "time = 4 hrs/job ; rate = 1/4 job/hr
\n" ); document.write( "---------------------
\n" ); document.write( "John DATA:
\n" ); document.write( "time = 6 hrs/job ; rate = 1/6 job/hr
\n" ); document.write( "-------------------------
\n" ); document.write( "Together DATA:
\n" ); document.write( "time = x hrs/job ; 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( "3x + 2x = 12
\n" ); document.write( "5x = 12
\n" ); document.write( "x = 12/5 = 2 2/5 hrs
\n" ); document.write( "x = 2 hrs and 24 minutes
\n" ); document.write( "==============================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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