document.write( "Question 676202: It takes Shawn 6 more hours to stain a deck than Michelle. Together it takes them 1.6 hours to complete the work. How long does Shawn take to stain the deck by himself? \n" ); document.write( "
Algebra.Com's Answer #420220 by josmiceli(19441)\"\" \"About 
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Let \"+t+\" = Michelle's time in hrs to stain deck
\n" ); document.write( "\"+t+%2B+6+\" = Shawn's time in hrs to stain deck
\n" ); document.write( "Add their rates of working to get rate working together
\n" ); document.write( "( 1 deck stained ) / ( Shawn's time ) + ( 1 deck stained ) / ( Michelle's time ) = rate working together
\n" ); document.write( "\"+1+%2F+%28+t+%2B+6+%29+%2B+1%2Ft+=+1+%2F+1.6+\"
\n" ); document.write( "Multiply both sides by \"+1.6%2A%28+t+%2B+6+%29%2At+\"
\n" ); document.write( "\"+1.6t+%2B+%28+t+%2B+6+%29%2A1.6+=+t%2A%28+t+%2B+1.6+%29+\"
\n" ); document.write( "\"+1.6t+%2B+1.6t+%2B+9.6+=+t%5E2+%2B+1.6t+\"
\n" ); document.write( "\"+1.6t+%2B+9.6+=+t%5E2+\"
\n" ); document.write( "\"+t%5E2+-+1.6t+-+9.6+=+0+\"
\n" ); document.write( "Use quadratic formula
\n" ); document.write( "\"+t+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+1+\"
\n" ); document.write( "\"+b+=+-1.6+\"
\n" ); document.write( "\"+c+=+-9.6+\"
\n" ); document.write( "\"+t+=+%28-%28-1.6%29+%2B-+sqrt%28+%28-1.6%29%5E2+-+4%2A1%2A%28-9.6%29+%29%29+%2F+%282%2A1%29+\"
\n" ); document.write( "\"+t+=+%28+1.6+%2B-+sqrt%28+2.56+%2B+38.4+%29%29+%2F+2+\"
\n" ); document.write( "\"+t+=+%28+1.6+%2B-+sqrt%28+40.96+%29%29+%2F+2+\"
\n" ); document.write( "\"+t+=+%28+1.6+%2B+6.4%29+%2F+2+\" ( ignore the negative square root )
\n" ); document.write( "\"+t+=+8%2F2+\"
\n" ); document.write( "\"+t+=+4+\"
\n" ); document.write( "\"+t+%2B+6+\" = Shawn's time, so
\n" ); document.write( "\"+t+%2B+6+=+10+\"
\n" ); document.write( "Shawn takes 10 hrs to stain deck by himself\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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