document.write( "Question 979822: Anika and Jazlyn can finish cleaning the house in 2 hours. If
\n" ); document.write( "it takes Anika working alone 3 hours longer than it takes
\n" ); document.write( "Jazlyn working alone, how many hours will each girls finish
\n" ); document.write( "the work alone?
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Algebra.Com's Answer #601076 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Their rate working together:
\n" ); document.write( "[ 1 house cleaned ] / [ 2 hrs ]
\n" ); document.write( "--------------------------
\n" ); document.write( "Let \"+t+\" = Jazlyn's time working alone in hrs
\n" ); document.write( "\"+t+%2B+3+\" = Anika's time working alone in hrs
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\n" ); document.write( "Jazlyn's rate:
\n" ); document.write( "[ 1 house cleaned ] / [ t hrs ]
\n" ); document.write( "Anika's rate:
\n" ); document.write( "[ 1 house cleaned ] / [ t +3 hrs ]
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\n" ); document.write( "Add their rates of cleaning to
\n" ); document.write( "get their rate cleaning together
\n" ); document.write( "\"+1%2Ft+%2B+1%2F%28+t%2B3+%29+=+1%2F2+\"
\n" ); document.write( "Multiply both sides by \"+t%2A%28+t%2B3+%29%2A2+\"
\n" ); document.write( "\"+2%2A%28+t%2B3+%29+%2B+2t+=+t%2A%28+t%2B3+%29+\"
\n" ); document.write( "\"+2t+%2B+6+%2B+2t+=+t%5E2+%2B+3t+\"
\n" ); document.write( "\"+t%5E2+-+t+-+6+=+0+\"
\n" ); document.write( "\"+%28+t-3+%29%2A%28+t%2B2+%29+=+0+\"
\n" ); document.write( "\"+t+=+3+\" ( time must be positive )
\n" ); document.write( "and
\n" ); document.write( "\"+t%2B3+=+6+\"
\n" ); document.write( "---------------
\n" ); document.write( "Jazlyn's time working alone is 3 hrs
\n" ); document.write( "Anika's time working alone is 6 hrs
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\n" ); document.write( "check:
\n" ); document.write( "\"+1%2Ft+%2B+1%2F%28+t%2B3+%29+=+1%2F2+\"
\n" ); document.write( "\"+1%2F3+%2B+1%2F6+=+1%2F2+\"
\n" ); document.write( "\"+2%2F6+%2B+1%2F6+=+3%2F6+\"
\n" ); document.write( "\"+3%2F6+=+3%2F6+\"
\n" ); document.write( "OK
\n" ); document.write( "
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