document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=429891>Question 429891</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Elaina bicycles 4km/h faster than Robert.  In the same time it takes Robert to bicycle 30 km, Elaina can bicycle 42 km.  How fast does each bicyclist travel? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #298555 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=298555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Elaina bicycles 4km/h faster than Robert. In the same time it takes Robert to bicycle 30 km, Elaina can bicycle 42 km. How fast does each bicyclist travel?<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Robert DATA:<BR>\n" );
document.write( "rate = x km/h ; dist = 30 km ; time = 30/x hr<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Elaina DATA:<BR>\n" );
document.write( "rate = (x+4)km/h ; dist = 42 km ; time = 42/(x+4) hr<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "time = time<BR>\n" );
document.write( "30/x = 42/(x+4)<BR>\n" );
document.write( "30(x+4) = 42x<BR>\n" );
document.write( "12x = 120<BR>\n" );
document.write( "x = 10 km/h (Robert's rate)<BR>\n" );
document.write( "x+4 = 14 km/h (Elaina's rate)<BR>\n" );
document.write( "==================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );