document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1048457>Question 1048457</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ryan and Eric work for a mail order company. It takes Eric 1 hour longer to fill 100 orders than Ryan. If they work together, it takes them 4hours to fill the orders. Find the amount of time required for each individual to fill 100 orders working alone. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #664026 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=664026\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x=number of hours Ryan takes; x+1=number of hours Eric takes<BR>\n" );
document.write( "In 1 hour Ryan fills 1/x of the orders<BR>\n" );
document.write( "in 1 hour Eric fills 1/(x+1) of the order<BR>\n" );
document.write( "Together, it takes them 4 hours<BR>\n" );
document.write( "(1/x)+(1/x+1)=(1/4); in 1 hour, they both do 1/4 of the whole project.<BR>\n" );
document.write( "multiply through by 4x(x+1)<BR>\n" );
document.write( "4(x+1)+4x=(x)(x+1)<BR>\n" );
document.write( "4x+4+4x=x^2+x<BR>\n" );
document.write( "0=x^2-7x-4<BR>\n" );
document.write( "x=(1/2)((7+/-sqrt(65); sqrt (65)=8.06<BR>\n" );
document.write( "use positive root.<BR>\n" );
document.write( "x=(1/2)(15.06)=7.53 hours for Ryan and 8.53 hours for EricANSWER<BR>\n" );
document.write( "in 4 hours, Ryan does 4/7.53 and Eric does 4/8.53, and those are 0.531 and 0.469 with the sum 1.00 of the project. </SPAN>\n" );
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