document.write( "Question 167349: Suppose one painter can paint the entire house in 12 hours, and the second painter can paint the house in 8 hour. How long would it take the two painters together to paint the house? \n" ); document.write( "

Algebra.Com's Answer #123241 by josmiceli(19441) $\"\"$ $\"About$

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Add their rates of working to get
\n" ); document.write( "the rate working together
\n" ); document.write( "(1 house)/(8 hrs) + (1 house)/(12 hrs) = (1 house)/(x hrs)
\n" ); document.write( " $\"1%2F8+%2B+1%2F12+=+1%2Fx\"$
\n" ); document.write( "Multiply both sides by $\"24x\"$
\n" ); document.write( " $\"3x+%2B+2x+=+24\"$
\n" ); document.write( " $\"5x+=+24\"$
\n" ); document.write( " $\"x+=+4.8\"$
\n" ); document.write( "Working together, it will take them 4.8 hrs, or 4 hrs 48 min \n" ); document.write( "

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