document.write( "Question 324691: John can paint a house in 4 hours and Sue can paint the same house in 6 hours, how much time will it take for them to paint the house together?
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Algebra.Com's Answer #232516 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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John can paint a house in 4 hours and Sue can paint the same house in 6 hours,
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\n" ); document.write( "Let t = time required when working together
\n" ); document.write( "Let the completed job = 1 (a painted house)
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\n" ); document.write( "Each will do a fraction of the job, the two fractions will add up to 1
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\n" ); document.write( " $\"t%2F4\"$ + $\"t%2F6\"$ = 1
\n" ); document.write( "multiply by 12 to get rid of the denominators, results:
\n" ); document.write( "3t + 2t = 12
\n" ); document.write( "5t = 12
\n" ); document.write( "t = $\"12%2F5\"$
\n" ); document.write( "t = 2.4 hrs working together
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\n" ); document.write( "Check solution
\n" ); document.write( "2.4/4 + 2.4/6 =
\n" ); document.write( ".6 + .4 = 1 \n" ); document.write( "

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