document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192127>Question 192127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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 #144250 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=144250\">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" );
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document.write( "Let s = B's bike speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+5) = R's speed<BR>\n" );
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document.write( "From the information given:<BR>\n" );
document.write( "B traveled 30 mi<BR>\n" );
document.write( "R traveled 60 mi<BR>\n" );
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document.write( "Write a time equation; Time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dist%2Fspeed ALIGN=MIDDLE  ALT=\"dist%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 by s(s+5)<BR>\n" );
document.write( "s(s+5)*<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*s(s+5) = s(s+5)*<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( "Cancel the denominators, leaving<BR>\n" );
document.write( "30(s+5) + s(s+5) = 60s<BR>\n" );
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document.write( "30s + 150 + s^2 + 5s - 60s = 0<BR>\n" );
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document.write( "Combine as a quadratic equation:<BR>\n" );
document.write( "s^2 - 25s + 150 = 0<BR>\n" );
document.write( "Factors to:<BR>\n" );
document.write( "(x-10)(x-15) = 0<BR>\n" );
document.write( "Two good solutions for B's speed<BR>\n" );
document.write( "s = 10 mph<BR>\n" );
document.write( "s = 15 mph<BR>\n" );
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document.write( "Check solution; B's speed =10, R's speed = 15<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( "3 + 1 = 4<BR>\n" );
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document.write( "Check solution; B's speed =15, R's speed = 20<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;\" ><BR>\n" );
document.write( "2 + 1 = 3<BR>\n" );
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document.write( "Did this make sense to you? Any questions? </SPAN>\n" );
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