document.write( "Question 122248: It takes Tom 2 days to paint a house and it takes Leah 4 days and it takes Lisa 6 days. How long will it take to paint the house together?
\n" ); document.write( "Please explain how to set up this solution \n" ); document.write( "

Algebra.Com's Answer #89740 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
It takes Tom 2 days to paint a house and it takes Leah 4 days and it takes Lisa 6 days. How long will it take to paint the house together?
\n" ); document.write( "---------------
\n" ); document.write( "Tom DATA:
\n" ); document.write( "Time = 2 day/job ; Rate = 1/2 job/day
\n" ); document.write( "---------------
\n" ); document.write( "Leah DATA:
\n" ); document.write( "Time = 4 day/job ; Rate = 1/4 job/day
\n" ); document.write( "----------------
\n" ); document.write( "Lisa DATA:
\n" ); document.write( "Time = 6 day/job ; Rate = 1/6 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+ rate = together rate
\n" ); document.write( "1/2 + 1/4 + 1/6 = 1/x
\n" ); document.write( "Multiply thru by 12x to get:
\n" ); document.write( "6x + 3x + 2x = 12
\n" ); document.write( "11x = 12
\n" ); document.write( "x = 12/11 = 1 1/11 day (time needed to do the job together)
\n" ); document.write( "=================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );