document.write( "Question 661572: Zeno takes 3hrs longer to piant a floor than it takes lia. When they work together, it takes them 2hrs. how long would each to get the job done? \n" ); document.write( "
Algebra.Com's Answer #411695 by josmiceli(19441)\"\" \"About 
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Let \"+t+\" = the time in hrs it
\n" ); document.write( "takes Lia to paint the floor
\n" ); document.write( "\"+t+%2B+3+\" = time it takes Zeno
\n" ); document.write( "------------------
\n" ); document.write( "Add their rates of working to get their
\n" ); document.write( "rate working together
\n" ); document.write( "( 1 floor painted / Zeno's time ) + ( 1 floor painted ) / ( Lia's time )
\n" ); document.write( "= ( 1 floor painted ) / ( time for both painting together )
\n" ); document.write( "\"+1%2F%28t%2B3%29+%2B+1%2Ft+=+1%2F2+\"
\n" ); document.write( "Multiply both sides by \"+2%2At%2A%28+t+%2B+3+%29+\"
\n" ); document.write( "\"+2t+%2B+2%2A%28+t+%2B+3+%29+=+t%2A%28+t+%2B+3+%29+\"
\n" ); document.write( "\"+2t+%2B+2t+%2B+6+=+t%5E2+%2B+3t+\"
\n" ); document.write( "\"+t%5E2+-+t+-+6+=+0+\"
\n" ); document.write( "I can see that this is
\n" ); document.write( "\"+%28+t+-+3+%29%2A%28+t+%2B+2+%29+=+0+\"
\n" ); document.write( "\"+t+=+3+\"
\n" ); document.write( "( can't be \"+t+=+-2+\" because you can't have negative time )
\n" ); document.write( "and
\n" ); document.write( "\"+t+%2B+3+=+6+\"
\n" ); document.write( "Lia takes 3 hrs to paint the floor
\n" ); document.write( "Zeno takes 6 hrs to paint the floor
\n" ); document.write( "check answer:
\n" ); document.write( "\"+1%2F%28t%2B3%29+%2B+1%2Ft+=+1%2F2+\"
\n" ); document.write( "\"+1%2F%283%2B3%29+%2B+1%2F3+=+1%2F2+\"
\n" ); document.write( "\"+1%2F6+%2B+2%2F6+=+3%2F6+\"
\n" ); document.write( "\"+3%2F6+=+3%2F6+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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