document.write( "Question 80456: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
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Algebra.Com's Answer #57735 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
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\n" ); document.write( "Let t = time required to complete the job together
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\n" ); document.write( "Let the completed job = 1
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\n" ); document.write( "A simple equation:
\n" ); document.write( " $\"t%2F4\"$ + $\"t%2F6\"$ = 1
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\n" ); document.write( "Multiply equation by 12 to get rid of the denominators, you then have:
\n" ); document.write( "3t + 2t = 12
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\n" ); document.write( "5t = 12
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\n" ); document.write( "t = 12/5
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\n" ); document.write( "t = 2.4 hrs working together
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\n" ); document.write( "Check solution of t = 2.4:
\n" ); document.write( "2.4/4 + 2.4/6 =
\n" ); document.write( " .6 + .4 = 1
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