document.write( "Question 299860: If Sara can paint a house in 4 hours and Bill can paint the same house in 6 hours how long will it take them to paint the house together??\r
\n" ); document.write( "\n" ); document.write( "What is the formula for figuring this out and why? \n" ); document.write( "
Algebra.Com's Answer #215330 by sharon1948(6)\"\" \"About 
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The forumla is:\r
\n" ); document.write( "\n" ); document.write( "Rate x Time = total work done\r
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\n" ); document.write( "\n" ); document.write( "Let \"t\" = total time to paint together\r
\n" ); document.write( "\n" ); document.write( "Sara = 4 hrs
\n" ); document.write( "Bill = 6 hrs\r
\n" ); document.write( "\n" ); document.write( "1 (job)/4 hrs x t + 1 (job)/6 hr x t= total time worked together\r
\n" ); document.write( "\n" ); document.write( "1 x t = t\r
\n" ); document.write( "\n" ); document.write( "t/4 + t/6 = total time worked together\r
\n" ); document.write( "\n" ); document.write( "You have to find a comman denominator when adding fractions\r
\n" ); document.write( "\n" ); document.write( "t/4 x 6/6 + t/6 x 4/4 = 6t/24 + 4t/24 = 10t/24
\n" ); document.write( "10t=24
\n" ); document.write( "divide both sides by 10\r
\n" ); document.write( "\n" ); document.write( "t = 2.4 hrs or 2 2/5 hrs do to the job together
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