document.write( "Question 735886: Suppose Marco can stuff envelopes twice as fast as his friend Polo. Together, they can stuff 6750 envelopes in 4.5 hours. How long would it take each of them working alone? \n" ); document.write( "
Algebra.Com's Answer #449588 by josmiceli(19441)\"\" \"About 
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Add their rates of working alone to get
\n" ); document.write( "their rates working together
\n" ); document.write( "For this problem call stuffing 6750 envelopes
\n" ); document.write( "1 job.
\n" ); document.write( "Let \"+t+\" = Polo's time in hours to do 1 job
\n" ); document.write( "\"+2t+\" = Marco's time in hrs to do 1 job
\n" ); document.write( "------------------------------------
\n" ); document.write( "( 1 job / t hrs ) + ( 1 job / 2t hrs ) = 1 job / 4.5 hrs
\n" ); document.write( "\"+1%2Ft+%2B+1%2F%282t%29+=+1%2F4.5+\"
\n" ); document.write( "Multiply both sides by \"+9t+\"
\n" ); document.write( "\"+9+%2B+4.5+=+2t+\"
\n" ); document.write( "\"+2t+=+13.5+\"
\n" ); document.write( "\"+t+=+6.75+\"
\n" ); document.write( "\"+2t+=+13.5+\"
\n" ); document.write( "Marco does the job in 13.5 hrs
\n" ); document.write( "Polo does the job in 6.75 hrs
\n" ); document.write( "check:
\n" ); document.write( "\"+1%2Ft+%2B+1%2F%282t%29+=+1%2F4.5+\"
\n" ); document.write( "\"+1%2F6.75+%2B+1%2F13.5+=+1%2F4.5+\"
\n" ); document.write( "\"+.148148+%2B+.074074+=+.222222+\"
\n" ); document.write( "\"+.222222+=+.222222+\"
\n" ); document.write( "OK
\n" ); document.write( "
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