document.write( "Question 878144: Michelle can type a 20 page paper in 5 hours. Amanda
\n" ); document.write( "can type a 60 page paper in 8 hours. Working
\n" ); document.write( "together, how long would it take them to complete a
\n" ); document.write( "40 page paper?
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Algebra.Com's Answer #529725 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
You can define a \"+20+\" page letter as \"+1+\" job
\n" ); document.write( "A \"+60+\" page letter would then be \"+60%2F20+=+3+\" jobs
\n" ); document.write( "A \"+40+\" page letter would then be \"+40%2F20+=+2+\" jobs
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\n" ); document.write( "Michelle's rate of typing is ( 1 job ) / ( 5 hrs )
\n" ); document.write( "Amanda's rate of typing is ( 3 jobs ) / ( 8 hrs )
\n" ); document.write( "Typing together, their rate is ( 2 jobs ) / ( t hrs )
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\n" ); document.write( "Add their rates of typing to get their rate typing together
\n" ); document.write( "\"+1%2F5+%2B+3%2F8+=+2%2Ft+\"
\n" ); document.write( "Multiply both sides by \"+40t+\"
\n" ); document.write( "\"+8t+%2B+15t+=+80+\"
\n" ); document.write( "\"+23t+=+80+\"
\n" ); document.write( "\"+t+=+3+%2B+11%2F80+\" hrs
\n" ); document.write( "Convert \"+11%2F80+\" to minutes
\n" ); document.write( "\"+%2811%2F80+%29%2A60+=+33%2F4+\" min approximately
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\n" ); document.write( "Together, they can type a 40 page letter in 3 hrs 8 min
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\n" ); document.write( "check:
\n" ); document.write( "\"+1%2F5+%2B+3%2F8+=+2%2Ft+\"
\n" ); document.write( "\"+1%2F5+%2B+3%2F8+=+2%2F%28+80%2F23+%29+\"
\n" ); document.write( "\"+1%2F5+%2B+3%2F8+=+46%2F80+\"
\n" ); document.write( "\"+8%2F40+%2B+15%2F40+=+23%2F40+\"
\n" ); document.write( "\"+23%2F40+=+23%2F40+\"
\n" ); document.write( "OK\r
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