document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=551725>Question 551725</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sara leaves at 7am at a rate of 45mph<BR>\n" );
document.write( "Mark leaves at 7:30am at a rate of 55mph<BR>\n" );
document.write( "They both leave from the same location traveling in the same direction<BR>\n" );
document.write( "At what time will Mark catch up with Sara?\r<BR>\n" );
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document.write( "What equation or equations should be used when solving this problem algebraically? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #359858 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=359858\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sara leaves at 7am at a rate of 45mph<BR>\n" );
document.write( "Mark leaves at 7:30am at a rate of 55mph<BR>\n" );
document.write( "They both leave from the same location traveling in the same direction<BR>\n" );
document.write( "At what time will Mark catch up with Sara?<BR>\n" );
document.write( "What equation or equations should be used when solving this problem algebraically?<BR>\n" );
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document.write( "Let t = Sara's travel time<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t-.5) = Mark's travel time (leaves half hour later)<BR>\n" );
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document.write( "A simple equation can be derived from the fact, when M catches S, they will have traveled the same distance,<BR>\n" );
document.write( "Dist = speed * time<BR>\n" );
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document.write( "M's dist = S's dist<BR>\n" );
document.write( "55(t-.5) = 45t<BR>\n" );
document.write( "55t - 27.5 = 45t<BR>\n" );
document.write( "55t - 45t = 27.5<BR>\n" );
document.write( "10t = 27.5<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27.5%2F10 ALIGN=MIDDLE  ALT=\"27.5%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 2.75 hrs from S's starting time (2 hrs + .75(60) = 45 min)<BR>\n" );
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document.write( "7:00 + 2:45 = 9:45 when M catches S<BR>\n" );
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document.write( "We can confirm this by finding the dist each traveled, if we did this right, they should be equal<BR>\n" );
document.write( "45*2.75 = 123.75 mi<BR>\n" );
document.write( "55*2.25 = 123.75 </SPAN>\n" );
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