document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=451534>Question 451534</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Debbie leaves the house walking at a rate of 3 miles per hour. After 10 minutes, her mother realizes that Debbie has forgotten her homework and leaves the house riding a bicycle at a rate of 10 miles per hour. How many minutes after Debbie initially left the house will her mother catch up to her? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310668 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=310668\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Debbie leaves the house walking at a rate of 3 miles per hour.<BR>\n" );
document.write( " After 10 minutes, her mother realizes that Debbie has forgotten her homework and<BR>\n" );
document.write( " leaves the house riding a bicycle at a rate of 10 miles per hour.<BR>\n" );
document.write( " How many minutes after Debbie initially left the house will her mother catch up to her?<BR>\n" );
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document.write( "Convert 10 min to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > hrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let t = D's travel time (hrs) when Mom catches her<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = Mom's travel time<BR>\n" );
document.write( ":<BR>\n" );
document.write( "When Mom catches D, they will have traveled the same distance.<BR>\n" );
document.write( "Write a distance equation; dist = speed*time<BR>\n" );
document.write( "10(t-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F6 ALIGN=MIDDLE  ALT=\"1%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = 3t<BR>\n" );
document.write( "10t - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F6 ALIGN=MIDDLE  ALT=\"10%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3t<BR>\n" );
document.write( "10t - 3t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F6 ALIGN=MIDDLE  ALT=\"10%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "7t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F6 ALIGN=MIDDLE  ALT=\"10%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by6<BR>\n" );
document.write( "6*7t = 10<BR>\n" );
document.write( "42t = 10<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F42 ALIGN=MIDDLE  ALT=\"10%2F42\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = .2381 * 60 = 14.3 min is D's travel time, when Mom catches her.<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );