document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167686>Question 167686</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533490/algebrahomeworkh>ELEMENTARY AND INTERMEDIATE ALGEBRA</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Brenda and her husband Randy bicycled cross-country<BR>\n" );
document.write( "together. One morning, Brenda rode 30 miles. By traveling<BR>\n" );
document.write( "only 5 miles per hour faster and putting in one more hour,<BR>\n" );
document.write( "Randy covered twice the distance Brenda covered. What<BR>\n" );
document.write( "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 #123578 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=123578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Brenda rode 30 miles. By traveling only 5 miles per hour faster and putting in<BR>\n" );
document.write( " 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<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+5) = R's speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "B traveled 30 mi<BR>\n" );
document.write( "R traveled 60 mi (twice B's distance)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation: Time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=distance%2Fspeed ALIGN=MIDDLE  ALT=\"distance%2Fspeed\"   DISABLED_style= \"max-width:90%; height:auto;\" ><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); results:<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 = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "s^2 - 25s + 150 = 0; our old friend, the quadratic equation!<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "(s - 15))(x - 10) = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( "both solutions will work:<BR>\n" );
document.write( "s = 10 mph is B's speed, obviously, 15 mph = R's speed<BR>\n" );
document.write( "and<BR>\n" );
document.write( "s = 15 mph is B's speed, then 20 mph = R's speed<BR>\n" );
document.write( ":\r<BR>\n" );
document.write( "\n" );
document.write( ":<BR>\n" );
document.write( "Check both solutions in the time equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F10 ALIGN=MIDDLE  ALT=\"30%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F15 ALIGN=MIDDLE  ALT=\"60%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F15 ALIGN=MIDDLE  ALT=\"30%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 1 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F20 ALIGN=MIDDLE  ALT=\"60%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );