document.write( "Question 891733: Carl can paint a room 3 hours faster than Jennifer can. If they work together, they can complete the job in 2 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Jennifer to complete this job on her own. \n" ); document.write( "

Algebra.Com's Answer #540006 by josmiceli(19441) $\"\"$ $\"About$

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(1) Carl's rate of painting added to Jennifer's rate
\n" ); document.write( "of painting equals their rate of painting when
\n" ); document.write( "they work together
\n" ); document.write( "(2) Carl's rate is known, and so is their rate when
\n" ); document.write( "working together, so Jennifer's rate can be found
\n" ); document.write( "(3) Let Jennifer's rate = ( 1 room painted ) / ( t hours )
\n" ); document.write( "(4) Carl's rate = ( 1 room painted ) / ( ( t - 3 ) hours )
\n" ); document.write( "(5) Working together, their rate = ( 1 room painted ) / ( 2 hours )
\n" ); document.write( "(6) The equation is:
\n" ); document.write( " $\"+1+%2F+%28+t-3+%29+%2B+1%2Ft+=+1%2F2+\"$
\n" ); document.write( "(7) Multiply both sides by $\"+2t%2A%28+t-3+%29+\"$
\n" ); document.write( "(8) $\"+2t+%2B+2%2A%28+t-3+%29+=+t%2A%28+t-3+%29+\"$
\n" ); document.write( "(9) $\"+2t+%2B+2t+-+6+=+t%5E2+-+3t+\"$
\n" ); document.write( " $\"+t%5E2+-+7t+%2B+6+=+0+\"$
\n" ); document.write( "(10 ) Use the quadratic formula to solve for $\"+t+\"$ , Jennifer's time
\n" ); document.write( " \n" ); document.write( "

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