document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=978681>Question 978681</A>: <I><SPAN STYLE=\"word-break: break-all;\"> jessica and cynthia work in a pet shop. it takes jessica 6 hours to groom all the pets but cynthia needs 8 hours to groom them. if jessica starts to groom 1 hour before cynthia joins, how long will it take them to finish? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #600056 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=600056\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> jessica and cynthia work in a pet shop.<BR>\n" );
document.write( " it takes jessica 6 hours to groom all the pets but cynthia needs 8 hours to groom them.<BR>\n" );
document.write( " if jessica starts to groom 1 hour before cynthia joins, how long will it take them to finish?<BR>\n" );
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document.write( "let t = time it takes them to finish (C's working time)<BR>\n" );
document.write( "then<BR>\n" );
document.write( "t+1 = J's working time<BR>\n" );
document.write( "let 1 = completed job (all pets groomed)<BR>\n" );
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document.write( "A shared work equation, each does a fraction of the job, the two fractions add up to 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28t%2B1%29%29%2F6 ALIGN=MIDDLE  ALT=\"%28%28t%2B1%29%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F8 ALIGN=MIDDLE  ALT=\"t%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "Multiply by the least common multiple of 6 and 8, 24. cancel the denominators<BR>\n" );
document.write( "4(t+1) + 3t = 24<BR>\n" );
document.write( "4t + 4 + 3t = 24<BR>\n" );
document.write( "4t + 3t = 24 - 4<BR>\n" );
document.write( "7t = 20<BR>\n" );
document.write( "t = 20/7<BR>\n" );
document.write( "t = 2<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F7 ALIGN=MIDDLE  ALT=\"6%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs, which is: 2 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F7 ALIGN=MIDDLE  ALT=\"6%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >*60 = 2 hrs 51.43 min to finish the job<BR>\n" );
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