document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164481>Question 164481</A>: <I><SPAN STYLE=\"word-break: break-all;\"> James can stuff 1000 envelopes in 5 hours. Susan can stuff 1000 envelopes in 3 hours. How long will it take to stuff 1000 envelopes if they worked together?\r<BR>\n" );
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document.write( "answer:it will take 1 7/8 hours to stuff 1,000 envelopes working together\r<BR>\n" );
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document.write( "need a break  down of how my book got 1 7/8 hours to stuff 1,000 envelopes together  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #121233 by </B><A HREF=/tutors/aboutme.mpl?userid=themathprof><B>themathprof(21)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=themathprof><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=121233\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> James can stuff 1000 envelopes in 5 hours. Susan can stuff 1000 envelopes in 3 hours. How long will it take to stuff 1000 envelopes if they worked together?\r<BR>\n" );
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document.write( "The solution does not depend on the number 1000. It would be solved the same way even if 10 letters were stuffed, or 100,000 letters were stuffed.\r<BR>\n" );
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document.write( "Think of it as completing a job.\r<BR>\n" );
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document.write( "James can complete a job 5 hours. Susan can complete the same job in 3 hours. How long will it take to complete the job if they worked together?\r<BR>\n" );
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document.write( "Let x=amt of hours each will work. Since they're working together, each of their times =x\r<BR>\n" );
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document.write( "James needs 5 hrs by himself. So each hour he completes 1/5. <BR>\n" );
document.write( "Susan needs 3 hours by herself, so each hour she completes 1/3\r<BR>\n" );
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document.write( "But each don't work 1 hour they work x hours. So,...<BR>\n" );
document.write( "James completes x/5<BR>\n" );
document.write( "Susan completes x/3\r<BR>\n" );
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document.write( "Together they complete x/5+x/3 \r<BR>\n" );
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document.write( "The whole job is 1 \r<BR>\n" );
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document.write( "x/5+x/3=1\r<BR>\n" );
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document.write( "Multiply each term by the LCM=15 to clear fractions<BR>\n" );
document.write( "15x/5 +15x/3=15<BR>\n" );
document.write( "3x+5x=15<BR>\n" );
document.write( "8x=15<BR>\n" );
document.write( "x=15/8<BR>\n" );
document.write( "x= 1 7/8 hours\r<BR>\n" );
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document.write( "See more word problems like this<BR>\n" );
document.write( "worked out step by step in my FREE<BR>\n" );
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document.write( "www.math911.com\r<BR>\n" );
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document.write( "Tell your friends, (and teacher!)\r<BR>\n" );
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document.write( "Professor Martin Weissman\r<BR>\n" );
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document.write( " </SPAN>\n" );
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