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 #429046 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Suppose I paint a wall in 10 hours, and you and I together paint a wall in 2 hours.
\n" ); document.write( " How much faster do you paint a wall than I?
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\n" ); document.write( "Let t = time for you to paint the wall
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\n" ); document.write( "Let the completed job = 1 (A painted wall)
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\n" ); document.write( "A shared work equation
\n" ); document.write( " $\"2%2F10\"$ + $\"2%2Ft\"$ = 1
\n" ); document.write( "Multiply by 10t, results
\n" ); document.write( "2t + 10(2) = 10t
\n" ); document.write( "20 = 10t - 2t
\n" ); document.write( "20 = 8t
\n" ); document.write( "t = 20/8
\n" ); document.write( "t = 2.5 hrs
\n" ); document.write( ":
\n" ); document.write( "10 - 2.5 = 7.5 hrs faster
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