document.write( "Question 921199: It takes Leag 7 more hours to paint the kitchen than it thesez Henry to complete the same job. Together, they can completely pain the kitchen in 12 hours. How long does it take Henry to paint the kitchen if he works alone? \n" ); document.write( "

Algebra.Com's Answer #558843 by ewatrrr(24785) $\"\"$ $\"About$

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t Henry's time
\n" ); document.write( " $\"1%2F%28t%2B7%29+%2B+1%2Ft+=+1%2F12\"$ |Multiplying thru by 12t(t+7) so as all denominators = 1
\n" ); document.write( "12t + 12(t+7) = t(t+7)
\n" ); document.write( "t^2 -17t -84 = 0 (tossing out negative solution for unit measure)
\n" ); document.write( "(t +4)(t-21) = 0
\n" ); document.write( "t = 21hr, Henry's time
\n" ); document.write( "And..checking
\n" ); document.write( "1/28 + 1/21 = 1/12
\n" ); document.write( "49/(28•21) = 1/12 \n" ); document.write( "

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