document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=408171>Question 408171</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Carl can walk from his home to school in 30 minutes.  It takes his sister 35 minutes to walk the same distance.  How long would it take them to meet, if one started from school and the other at home at the same time and they walked toward each other at their usual speeds. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #287633 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=287633\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Carl can walk from his home to school in 30 minutes.<BR>\n" );
document.write( " It takes his sister 35 minutes to walk the same distance.<BR>\n" );
document.write( " How long would it take them to meet, if one started from school and the other<BR>\n" );
document.write( " at home at the same time and they walked toward each other at their usual speeds<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let t = time to meet walking towards each other<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let d = the distance from home to school<BR>\n" );
document.write( "then<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;\" > = C's walking speed<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F35 ALIGN=MIDDLE  ALT=\"d%2F35\"   DISABLED_style= \"max-width:90%; height:auto;\" > = S's walking speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a distance equation; dist = speed * time<BR>\n" );
document.write( ":<BR>\n" );
document.write( "C's dist + S's dist = total dist<BR>\n" );
document.write( "t(<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;\" >) + t(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F35 ALIGN=MIDDLE  ALT=\"d%2F35\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = d<BR>\n" );
document.write( ":<BR>\n" );
document.write( "divide thru by d, we don't need that, results:<BR>\n" );
document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F30 ALIGN=MIDDLE  ALT=\"t%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" >) + (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2F35 ALIGN=MIDDLE  ALT=\"t%2F35\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = 1<BR>\n" );
document.write( "multiply by 210 to clear the denominators<BR>\n" );
document.write( "7t + 6t = 210<BR>\n" );
document.write( "13t = 210<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=210%2F13 ALIGN=MIDDLE  ALT=\"210%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 16.154 minutes for them to meet<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "prove our solution with some real numbers, let d = 210 units<BR>\n" );
document.write( "then<BR>\n" );
document.write( " 210/30 = 7 units per minute is C's walking speed<BR>\n" );
document.write( "and<BR>\n" );
document.write( "210/35 = 6 units per minute is S's walking speed<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the total distance they walked in 16.154 min<BR>\n" );
document.write( "16.154(7) = 16.154(6) = <BR>\n" );
document.write( "113.078 + 96.924 = 210.00 confirms our solution of t = 16.154 minutes </SPAN>\n" );
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