document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=213793>Question 213793</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an adult sets out from home to pick up their child from school, and walks at a pace that will take 10 minutes to get to the school. At exactly the same time,the child leaves school to walk home at a pace that will take 20 minutes to get home. After how long will they meet? How would you justify your solution to the child? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #161529 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=161529\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> an adult sets out from home to pick up their child from school,<BR>\n" );
document.write( " and walks at a pace that will take 10 minutes to get to the school.<BR>\n" );
document.write( " At exactly the same time,the child leaves school to walk home at a pace that<BR>\n" );
document.write( " will take 20 minutes to get home.<BR>\n" );
document.write( "After how long will they meet?<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Let t = time interval when they walk towards each other<BR>\n" );
document.write( ":<BR>\n" );
document.write( "From the information given, we can say the adult walks twice as fast as the child<BR>\n" );
document.write( "Let s = walking speed of the child<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2s = walking speed of the adult<BR>\n" );
document.write( "and<BR>\n" );
document.write( "3s = their relative speed walking towards each other<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a dist equation Dist = speed * time<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Combined dist = child walking 20 min to home<BR>\n" );
document.write( "3s(t) = 20s<BR>\n" );
document.write( "divide both sides by s<BR>\n" );
document.write( "3t = 20<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F3 ALIGN=MIDDLE  ALT=\"20%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 6<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > min<BR>\n" );
document.write( "or<BR>\n" );
document.write( "Combined dist = adult walking 10 min <BR>\n" );
document.write( "3s(t) = 10(2s)<BR>\n" );
document.write( "3s(t) = 20t<BR>\n" );
document.write( "divide both sides by s<BR>\n" );
document.write( "3t = 20<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2F3 ALIGN=MIDDLE  ALT=\"20%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 6<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > min<BR>\n" );
document.write( ":<BR>\n" );
document.write( " How would you justify your solution to the child?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "You can say since I walk twice as fast as you do, I will cover twice the <BR>\n" );
document.write( "distance. <BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "in 6<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > min, child covers <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;\" > the dist<BR>\n" );
document.write( "and<BR>\n" );
document.write( "in 6<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > min, adult covers <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > the dist (twice as fast) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );