document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=984001>Question 984001</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Danny rings his mother when he gets off the train. He then starts walking home and his mother leaves home in her car. She drives until she meets Danny, picks him up and drives him home. Danny finds that his total trip home from the station took one-third of the time it would of he had to walk the whole way. What is the ratio of Danny’s average walking speed to the car’s average speed?<BR>\n" );
document.write( "A. 1:15<BR>\n" );
document.write( "B. 1:10<BR>\n" );
document.write( "C. 1:6<BR>\n" );
document.write( "D. 1:5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #604894 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=604894\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The ratio of their speeds will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%3AK ALIGN=MIDDLE  ALT=\"1%3AK\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "with the car’s average speed being <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=K ALIGN=MIDDLE  ALT=\"K\"   DISABLED_style= \"max-width:90%; height:auto;\" > times Danny's average walking speed.<BR>\n" );
document.write( "Danny walks <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles towards home in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > time, at his average walking speed.<BR>\n" );
document.write( "His mother, covers <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=K%2Ax ALIGN=MIDDLE  ALT=\"K%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles in the same <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > time,<BR>\n" );
document.write( "because the car’s average speed is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=K ALIGN=MIDDLE  ALT=\"K\"   DISABLED_style= \"max-width:90%; height:auto;\" > times Danny's average walking speed.<BR>\n" );
document.write( "Together, they have covered the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2BKx=%28K%2B1%29x ALIGN=MIDDLE  ALT=\"x%2BKx=%28K%2B1%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles between the station and home in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > time.<BR>\n" );
document.write( "However, there is still the drive home, which will take time <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "because it is the same distance mom drove to meet Danny,<BR>\n" );
document.write( "covered at the same car’s average speed.<BR>\n" );
document.write( "So, the whole trip takes time <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2Bt=2t ALIGN=MIDDLE  ALT=\"t%2Bt=2t\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "If Danny had to walk the whole <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28K%2B1%29x ALIGN=MIDDLE  ALT=\"%28K%2B1%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles,<BR>\n" );
document.write( "instead of just the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles he walked in time <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "it would take him <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=K%2B1 ALIGN=MIDDLE  ALT=\"K%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > times longer than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "It would take him <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28K%2B1%29t ALIGN=MIDDLE  ALT=\"%28K%2B1%29t\"   DISABLED_style= \"max-width:90%; height:auto;\" > time to walk the whole way home.<BR>\n" );
document.write( "With his mother's help he got home in just <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2t ALIGN=MIDDLE  ALT=\"2t\"   DISABLED_style= \"max-width:90%; height:auto;\" > time,<BR>\n" );
document.write( "which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28K%2B1%29t ALIGN=MIDDLE  ALT=\"%28K%2B1%29t\"   DISABLED_style= \"max-width:90%; height:auto;\" > time to walk the whole way home.<BR>\n" );
document.write( "So,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2t%2F%28%28K%2B1%29t%29=1%2F3 ALIGN=MIDDLE  ALT=\"2t%2F%28%28K%2B1%29t%29=1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28K%2B1%29=1%2F2 ALIGN=MIDDLE  ALT=\"2%2F%28K%2B1%29=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=K%2B1=2%2A3 ALIGN=MIDDLE  ALT=\"K%2B1=2%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=K%2B1=6 ALIGN=MIDDLE  ALT=\"K%2B1=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=K=6-1 ALIGN=MIDDLE  ALT=\"K=6-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28K=5%29 ALIGN=MIDDLE  ALT=\"highlight%28K=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );