document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=834823>Question 834823</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bus traveling at a constant rate of 30 miles per hour left the city at 11:45 A.M. A car following the bus at 45 miles per hour left the city at noon. At what time did the car catch up with the bus </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #503219 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=503219\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Quarter of an hour difference. Car drives for 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;\" > but bus drives for time <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2B1%2F4 ALIGN=MIDDLE  ALT=\"t%2B1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "_________________speed_________time_________distance<BR>\n" );
document.write( "Bus_____________30_____________t+1/4________d<BR>\n" );
document.write( "Car_____________45_____________t____________d\r<BR>\n" );
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document.write( "Know again, t is not a point on a number time line; it is a quantity of time, in hours.\r<BR>\n" );
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document.write( "The situation has these equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%28t%2B1%2F4%29=d ALIGN=MIDDLE  ALT=\"30%28t%2B1%2F4%29=d\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45t=d ALIGN=MIDDLE  ALT=\"45t=d\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "The unknown variables are t, the time for car to catchup distance, and d, that distance.  Since two expressions using the variable to be solved are both equal to d, we can equate these expressions in an equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2830%28t%2B1%2F4%29=45t%29 ALIGN=MIDDLE  ALT=\"highlight_green%2830%28t%2B1%2F4%29=45t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for t.<BR>\n" );
document.write( "Use t to find the time of day that the two vehicles reach the same distance. </SPAN>\n" );
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