document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164004>Question 164004</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533490/algebrahomeworkh>Elementary and Intermediate</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 20.) Brenda and her husband Randy bicycled cross - country together. One morning, Brenda rode 30 miles. By traveling only 5 miles per hour faster and putting in one more hour. Randy covered twice the distance brenda covered. What was the speed of each cyclist? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120835 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=120835\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Brenda and her husband Randy bicycled cross - country together. One morning,<BR>\n" );
document.write( " Brenda rode 30 miles. By traveling only 5 miles per hour faster and putting<BR>\n" );
document.write( " in one more hour. Randy covered twice the distance brenda covered.<BR>\n" );
document.write( " What was the speed of each cyclist?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let s = B's speed, distance 30 mi<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+5) = R's speed, distance 60 mi<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation: Time = distance/speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "B's time + 1 hr = R's time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2Fs ALIGN=MIDDLE  ALT=\"30%2Fs\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F%28%28s%2B5%29%29 ALIGN=MIDDLE  ALT=\"60%2F%28%28s%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply equation by s(s+5)<BR>\n" );
document.write( "30(s+5) + s(s+5) = 60s<BR>\n" );
document.write( ":<BR>\n" );
document.write( "30s + 150 + s^2 + 5s = 60s<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Arrange as a quadratic equation:<BR>\n" );
document.write( "s^2 + 5s + 30s - 60s + 150 = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "s^2 - 25s + 150 = 0<BR>\n" );
document.write( "Factors to:<BR>\n" );
document.write( "(s - 10)(s - 15) = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "s = 10 mph is B's speed, then R's speed = 15 mph<BR>\n" );
document.write( "or<BR>\n" );
document.write( "s = 15 mph is B's speed, then R's speed = 20 mph<BR>\n" );
document.write( ":<BR>\n" );
document.write( "If substitute either value for s you will find that it's true\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );