document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1127557>Question 1127557</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Betty and Carl live in the same apartment building, work at the same office, and set off for work in the morning at the same time. They must each travel 65 km, and they arrive at work at the same time. Betty travels by car at 45 km/h, parks the car and then walks at 5 km/h the rest of the way to work. Carl takes the bus, which travels at 40 km/h, to the same car park as Betty uses, and then rides his bike the rest of the way at 6 km/h. If they both leave leave at 6 a.m, at what time do they arrive to work? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #743972 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=743972\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Let x be the distance from the car park to work; then 65-x is the distance from the apartment building to the car park.<br><BR>\n" );
document.write( "Betty travels the 65-x miles at 45mph and the x miles at 5mph.  Carl travels the 65-x miles at 40mph and the x miles at 6mph.  The time they take is the same.  So<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2865-x%29%2F45%2Bx%2F5+=+%2865-x%29%2F40%2Bx%2F6 ALIGN=MIDDLE  ALT=\"%2865-x%29%2F45%2Bx%2F5+=+%2865-x%29%2F40%2Bx%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2865-x%29%2F45%2B9x%2F45+=+%28195-3x%29%2F120%2B20x%2F120 ALIGN=MIDDLE  ALT=\"%2865-x%29%2F45%2B9x%2F45+=+%28195-3x%29%2F120%2B20x%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x%2B65%29%2F45+=+%2817x%2B195%29%2F120 ALIGN=MIDDLE  ALT=\"%288x%2B65%29%2F45+=+%2817x%2B195%29%2F120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%288x%2B65%29+=+45%2817x%2B195%29 ALIGN=MIDDLE  ALT=\"120%288x%2B65%29+=+45%2817x%2B195%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=960x%2B7800+=+765x%2B8775 ALIGN=MIDDLE  ALT=\"960x%2B7800+=+765x%2B8775\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=195x+=+975 ALIGN=MIDDLE  ALT=\"195x+=+975\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5 ALIGN=MIDDLE  ALT=\"x+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The total time in hours for Betty is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F45%2B5%2F5+=+4%2F3%2B1+=+7%2F3 ALIGN=MIDDLE  ALT=\"60%2F45%2B5%2F5+=+4%2F3%2B1+=+7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The total time for Carl is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F40%2B5%2F6+=+3%2F2%2B5%2F6+=+9%2F6%2B5%2F6+=+14%2F6+=+7%2F3 ALIGN=MIDDLE  ALT=\"60%2F40%2B5%2F6+=+3%2F2%2B5%2F6+=+9%2F6%2B5%2F6+=+14%2F6+=+7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "It takes each of then 7/3 hours, or 2 1/3 hours, to get to work.  Since they leave at 6:00am, they arrive at 8:20am.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );