document.write( "Question 521566: David can paint the outside of a house in 12 hr. Bill can paint the same house in 9 hr. How long will it take them working together to paint the house? \n" ); document.write( "
Algebra.Com's Answer #346523 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
David can paint the outside of a house in 12 hr. Bill can paint the same house in 9 hr. How long will it take them working together to paint the house?
\n" ); document.write( "-----
\n" ); document.write( "David rate = 1/12 job/hr
\n" ); document.write( "---
\n" ); document.write( "Bill rate = 1/9 job/hr
\n" ); document.write( "----
\n" ); document.write( "Together rate = 1/x job/hr
\n" ); document.write( "-----
\n" ); document.write( "Equation:
\n" ); document.write( "rate + rate = together rate
\n" ); document.write( "1/12 + 1/9 = 1/x
\n" ); document.write( "9x + 12x = 9*12
\n" ); document.write( "21x = 9*12
\n" ); document.write( "7x = 9*4
\n" ); document.write( "x = 36/7 is approximately = 5 hrs 9 minutes
\n" ); document.write( "==============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "==============
\n" ); document.write( "
\n" );