document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=634512>Question 634512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bicyclist rode from point A to Point B at an average speed of 30 km/hr. Without stopping, he returned from Point B to Point A, following the same route, at an average speed of 20 km/hr. What was the average speed in km/hr over the course of the ride? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #399802 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=399802\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A bicyclist rode from point A to Point B at an average speed of 30 km/hr.<BR>\n" );
document.write( " Without stopping, he returned from Point B to Point A, following the same<BR>\n" );
document.write( " route, at an average speed of 20 km/hr.<BR>\n" );
document.write( " What was the average speed in km/hr over the course of the ride?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let a = the average speed for the round trip<BR>\n" );
document.write( "Let d = one-way distance<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation, time = dist/speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A-B time + B-A time = Total time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F30 ALIGN=MIDDLE  ALT=\"d%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F20 ALIGN=MIDDLE  ALT=\"d%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282d%29%2Fa ALIGN=MIDDLE  ALT=\"%282d%29%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We don't need d, divide thru by d<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F30 ALIGN=MIDDLE  ALT=\"1%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F20 ALIGN=MIDDLE  ALT=\"1%2F20\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29%2Fa ALIGN=MIDDLE  ALT=\"%282%29%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply by 60a, resulting in<BR>\n" );
document.write( "2a + 3a = 2(60)<BR>\n" );
document.write( "5a = 120<BR>\n" );
document.write( "a = 120/5<BR>\n" );
document.write( "a = 24 km/h is the average speed for the round trip </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );