document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=436052>Question 436052</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HELP, PLZ.....<BR>\n" );
document.write( "A woman commutes to work first by train, then rides a bicycle from the station to her office. The train averages 50 mi/h, and she averages 15 mi/h on her bicycle. The total distance of her commute is 13 miles, and the combined trip takes 24 minutes. How far does she ride the train? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #301706 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=301706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A woman commutes to work first by train, then rides a bicycle from the station to her office.<BR>\n" );
document.write( " The train averages 50 mi/h, and she averages 15 mi/h on her bicycle.<BR>\n" );
document.write( " The total distance of her commute is 13 miles, and the combined trip takes 24 minutes. <BR>\n" );
document.write( "How far does she ride the train?<BR>\n" );
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document.write( "Let d = distance rode on the train<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(13-d) = distance rode on the bike<BR>\n" );
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document.write( "Convert 24 min: 24/60 = .4 hrs<BR>\n" );
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document.write( "Write a time equation: Time = dist/speed<BR>\n" );
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document.write( "Train time + bike time = total time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F50 ALIGN=MIDDLE  ALT=\"d%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2813-d%29%29%2F15 ALIGN=MIDDLE  ALT=\"%28%2813-d%29%29%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .4 hrs<BR>\n" );
document.write( "Multiply by 150<BR>\n" );
document.write( "150*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F50 ALIGN=MIDDLE  ALT=\"d%2F50\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 150*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2813-d%29%29%2F15 ALIGN=MIDDLE  ALT=\"%28%2813-d%29%29%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 150(.4)<BR>\n" );
document.write( "cancel the denominators<BR>\n" );
document.write( "3d + 10(13-d) = 60<BR>\n" );
document.write( "3d + 130 - 10d = 60<BR>\n" );
document.write( "3d - 10d = 60 - 130<BR>\n" );
document.write( "-7d = -70<BR>\n" );
document.write( "d = +10 miles on the train<BR>\n" );
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document.write( "Check by finding time of each<BR>\n" );
document.write( "10/50 = .2 hr<BR>\n" );
document.write( "3/15 = .2 hrs<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "total .4 hrs which is 24 min </SPAN>\n" );
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