document.write( "Question 696478: Suppose I paint a wall in 10 hours, and you and I together paint a wall in 2 hours. How much faster do you paint a wall than I? \n" ); document.write( "

Algebra.Com's Answer #429047 by josmiceli(19441) $\"\"$ $\"About$

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My rate is ( 1 wall ) / ( 10 hrs )
\n" ); document.write( "Together our rate is ( 1 wall ) / ( 2 hrs )
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\n" ); document.write( "Let your rate = ( 1 wall ) / ( t hrs )
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\n" ); document.write( "Add our rates to get our rate working together
\n" ); document.write( " $\"+1%2F10+%2B+1%2Ft+=+1%2F2+\"$
\n" ); document.write( "Multiply both sides by $\"+10t+\"$
\n" ); document.write( " $\"+t+%2B+10+=+5t+\"$
\n" ); document.write( " $\"+4t+=+10+\"$
\n" ); document.write( " $\"+t+=+2.5+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+10+-+2.5+=+7.5+\"$
\n" ); document.write( "You can paint the wall in 7.5 hrs less time
\n" ); document.write( "than I can\r
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