document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=138985>Question 138985</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi the question is this<BR>\n" );
document.write( "Chuck and Dana agree to meet in Chicago for the weekend.  Chuck travels 93 miles in the same time dana travels 84 miles.  Chucks rate of travel is 3mph more than Danas and they travel the same length of time at what speed does Chuck travel?\r<BR>\n" );
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document.write( "Thanks a lot<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101384 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=101384\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The basic formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=rt ALIGN=MIDDLE  ALT=\"d=rt\"   DISABLED_style= \"max-width:90%; height:auto;\" >, distance equals rate times time.\r<BR>\n" );
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document.write( "Let Chuck's rate be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bc%5D ALIGN=MIDDLE  ALT=\"r%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and Dana's rate be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bd%5D ALIGN=MIDDLE  ALT=\"r%5Bd%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Chuck traveled 93 miles at a rate of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bc%5D ALIGN=MIDDLE  ALT=\"r%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > for some time <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Dana traveled 84 miles at a rate of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bd%5D ALIGN=MIDDLE  ALT=\"r%5Bd%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > for the SAME time <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If we rearrange the basic formula so that it is solved for time we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=d%2Fr ALIGN=MIDDLE  ALT=\"t=d%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, Chuck's trip took <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=93%2Fr%5Bc%5D ALIGN=MIDDLE  ALT=\"t=93%2Fr%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours, and Dana's trip took <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=84%2Fr%5Bd%5D ALIGN=MIDDLE  ALT=\"t=84%2Fr%5Bd%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours.  But the time was the same for both trips, so we can say:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=84%2Fr%5Bd%5D=93%2Fr%5Bc%5D ALIGN=MIDDLE  ALT=\"84%2Fr%5Bd%5D=93%2Fr%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We are also told that Chuck's rate is 3 mph greater than Dana's, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bd%5D=r%5Bc%5D-3 ALIGN=MIDDLE  ALT=\"r%5Bd%5D=r%5Bc%5D-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and we can substitute this fact into the last equation, thus:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=84%2F%28r%5Bc%5D-3%29=93%2Fr%5Bc%5D ALIGN=MIDDLE  ALT=\"84%2F%28r%5Bc%5D-3%29=93%2Fr%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now all you have to do is solve this equation for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r%5Bc%5D ALIGN=MIDDLE  ALT=\"r%5Bc%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get Chuck's speed.  HINT: Cross multiply this proportion and then collect like terms </SPAN>\n" );
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