document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=995853>Question 995853</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Lisa can fill a order in 9 hours. Tom can fill an order in 10 hours. How long will it take working together for them to fill the order? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #614517 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52803)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=614517\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Lisa can fill a order in 9 hours. Tom can fill an order in 10 hours. How long will it take working together for them to fill the order?<BR>\n" );
document.write( "-------------------------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Since Lisa can complete the order in &nbsp;9&nbsp; days, &nbsp;she is completing &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F9 ALIGN=MIDDLE  ALT=\"1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >&nbsp; of the job per hour.\r<BR>\n" );
document.write( "\n" );
document.write( "Since Tom can complete the job in &nbsp;10&nbsp; days, &nbsp;he is completing &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F10 ALIGN=MIDDLE  ALT=\"1%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >&nbsp; of the job per hour.\r<BR>\n" );
document.write( "\n" );
document.write( "So, &nbsp;working together, &nbsp;Lisa and Tom can complete &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F9+%2B+1%2F10 ALIGN=MIDDLE  ALT=\"1%2F9+%2B+1%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >&nbsp; of the job per hour.\r<BR>\n" );
document.write( "\n" );
document.write( "Now you need to calculate this sum of two fractions, &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F9+%2B+1%2F10 ALIGN=MIDDLE  ALT=\"1%2F9+%2B+1%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >. &nbsp;It requires standard operations:\r<BR>\n" );
document.write( "\n" );
document.write( "  &nbsp;&nbsp;&nbsp;&nbsp;- to convert fractions to a common denominator, &nbsp;which is equal to &nbsp;<B>90</B>&nbsp; in this case; <BR>\n" );
document.write( "  &nbsp;&nbsp;&nbsp;&nbsp;- then add numerators; <BR>\n" );
document.write( "  &nbsp;&nbsp;&nbsp;&nbsp;- then reduce the resulting fraction if possible:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F9+%2B+1%2F10 ALIGN=MIDDLE  ALT=\"1%2F9+%2B+1%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F90+%2B+9%2F90 ALIGN=MIDDLE  ALT=\"10%2F90+%2B+9%2F90\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%2B9%29%2F90 ALIGN=MIDDLE  ALT=\"%2810%2B9%29%2F90\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19%2F90 ALIGN=MIDDLE  ALT=\"19%2F90\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Thus, &nbsp;working together, &nbsp;Lisa and Tom can complete &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19%2F90 ALIGN=MIDDLE  ALT=\"19%2F90\"   DISABLED_style= \"max-width:90%; height:auto;\" >&nbsp; of the order per hour.\r<BR>\n" );
document.write( "\n" );
document.write( "Hence, &nbsp;it will take &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%2F19 ALIGN=MIDDLE  ALT=\"90%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" > =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F19 ALIGN=MIDDLE  ALT=\"14%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" >&nbsp; hours for Lisa and Tom to complete this job working together.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<U>Answer</U>. &nbsp;Working together, &nbsp;Lisa and Tom can complete the job in &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2F19 ALIGN=MIDDLE  ALT=\"14%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" > &nbsp;hours.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "See the lesson &nbsp;<A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Word-problems-WORKING-TOGETHER-by-Fractions.lesson>Using fractions to solve word problems on joint work</A>&nbsp; in this site for more rate-of-work problems.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );