document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59386>Question 59386</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072549017/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Science and medicine. A bicyclist rode into the country for 5 h. In returning, her<BR>\n" );
document.write( "speed was 5 mi/h faster and the trip took 4 h. What was her speed each way? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40722 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=40722\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Science and medicine. A bicyclist rode into the country for 5 h. In returning, her<BR>\n" );
document.write( "speed was 5 mi/h faster and the trip took 4 h. What was her speed each way?<BR>\n" );
document.write( "The distance formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d=rt%29 ALIGN=MIDDLE  ALT=\"highlight%28d=rt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, d=distance, r=rate, and t=time.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The time (t) into the country is: 5<BR>\n" );
document.write( "The rate into the country is: r  (because we don't know it)<BR>\n" );
document.write( "The distance into the country is: 5r<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The time (t) back is: 4<BR>\n" );
document.write( "The rate back is 5 more than into: r+5<BR>\n" );
document.write( "The distance back is: 4(r+5)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "In reality the distance into the country and the distance back are the same, so set the two distances equal to each other.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "5r=4(r+5)<BR>\n" );
document.write( "5r=4r+20<BR>\n" );
document.write( "5r-4r=-4r+4r+20<BR>\n" );
document.write( "r=20<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Her speed into the country is: x=20 m/h<BR>\n" );
document.write( "He speed back is: r+5=20+5= 25m/h<BR>\n" );
document.write( ":<BR>\n" );
document.write( "For fun you can now find out how far from the country she was if you wanted to.<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );