document.write( "Question 140306: If a Home Depot worker can paint a house in 4 hours, and a Lowes worker can paint the same house in 6 hour, how long will it take for both of them to paint the house together? \n" ); document.write( "
Algebra.Com's Answer #102180 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
If a Home Depot worker can paint a house in 4 hours, and a Lowes worker can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
\n" ); document.write( "-------------------
\n" ); document.write( "1st worker DATA;
\n" ); document.write( "Time = 4 hrs/job ; rate = 1/4 job/hr
\n" ); document.write( "--------------
\n" ); document.write( "2nd workier DATA:
\n" ); document.write( "Time = 6 hr/job ; rate = 1/6 job/hr
\n" ); document.write( "----------------
\n" ); document.write( "Together DATA:
\n" ); document.write( "time = x hr/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 = 2.4 hrs (time for them to do the job together
\n" ); document.write( "======================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "
\n" );