document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=390295>Question 390295</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ron and hermoine type papers for other students to pay for college. On Saturday, they worked 6 hours each an typed a total of 198 pages. On Sunday, Hermoine worked for 2 hours before Ron could join her. Together, they worked another 5 hours and typed a total of 201 pages. How many hours will it take Hermoine to type a 27 page paper if she works alon? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #276693 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=276693\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let x=amount of time it will take Hermoine working alone to type 27 pages<BR>\n" );
document.write( "Then Hermoine works at the rate of 27/x pages per hour<BR>\n" );
document.write( "Together Ron and Hermoine types at the rate of 198/6 =33 pages per hour<BR>\n" );
document.write( "Hermoine working alone for 2 hours typed (27/x)*2=54/x pages<BR>\n" );
document.write( "When Ron joined, together, they worked for 5 hours and typed (201-54/x)pages<BR>\n" );
document.write( "So together, they worked at the rate of ((201-54/x))/5 pages per hour<BR>\n" );
document.write( "So, our equation to solve is:<BR>\n" );
document.write( "((201-54/x))/5=33<BR>\n" );
document.write( "201-54/x=165<BR>\n" );
document.write( "201x-54=165x<BR>\n" );
document.write( "36x=54<BR>\n" );
document.write( "x=1.5 hours---time it takes hermoine working alone to type 27 pages<BR>\n" );
document.write( "Therefore Hermoine types at the rate of 27/1.5=18 pages per hour\r<BR>\n" );
document.write( "\n" );
document.write( "CK<BR>\n" );
document.write( " In 2 hours, Hermoine types 2*18= 36 pages leaving 201-36=165 pages for both to complete<BR>\n" );
document.write( "In 5 hours Ron and Hermoine working together types 33*5=165 pages<BR>\n" );
document.write( "165=165\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps---ptaylor<BR>\n" );
document.write( " </SPAN>\n" );
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