document.write( "Question 977590: John can clean a large tank at an aquarium in about 5 hours. When John and Laura work together, they can clean the tank in about 3 hours.\r
\n" ); document.write( "\n" ); document.write( "About how long would it take Laura to clean the tank if she works by herself?
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Algebra.Com's Answer #599142 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
John's rate of cleaning:
\n" ); document.write( "[ 1 tank ] / [ 5 hrs ]
\n" ); document.write( "I will call Laura's rate of cleaning:
\n" ); document.write( "[ 1 tank ] / [ t hrs ]
\n" ); document.write( "Their rate of cleaning working together:
\n" ); document.write( "[ 1 tank ] / [ 3 hrs ]
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\n" ); document.write( "Add their rates of cleaning to get their
\n" ); document.write( "rate working together:
\n" ); document.write( "\"+1%2F5+%2B+1%2Ft+=+1%2F3+\"
\n" ); document.write( "Multiply both sides by \"+15t+\"
\n" ); document.write( "\"+3t+%2B+15+=+5t+\"
\n" ); document.write( "\"+2t+=+15+\"
\n" ); document.write( "\"+t+=+7.5+\"
\n" ); document.write( "Working by herself, Laura takes 7 hrs and 30 min
\n" ); document.write( "to clean the tank
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\n" ); document.write( "check:
\n" ); document.write( "\"+1%2F5+%2B+1%2Ft+=+1%2F3+\"
\n" ); document.write( "\"+1%2F5+%2B+1%2F7.5+=+1%2F3+\"
\n" ); document.write( "\"+1%2F5+%2B+2%2F15+=+1%2F3+\"
\n" ); document.write( "\"+3%2F15+%2B+2%2F15+=+5%2F15+\"
\n" ); document.write( "\"+5%2F15+=+5%2F15+\"
\n" ); document.write( "OK
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