document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=6642>Question 6642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> mr. west drove his car from home to chicago at the rate of 40 mph. amd returned at a rate of 45mph. if his time going exceed his time returning by 30 minutes, find his time going and his time returning </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3620 by </B><A HREF=/tutors/aboutme.mpl?userid=prince_abubu><B>prince_abubu(198)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=prince_abubu><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=3620\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We're going to use rate * time = distance in this situation. Before we go on, we must keep in mind that the distance for both to and from trips is the same.\r<BR>\n" );
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document.write( "Let's nail down the trip home first.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5Bh%5D+ ALIGN=MIDDLE  ALT=\"+r%5Bh%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = Rate going back home = 45 mph.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bh%5D+ ALIGN=MIDDLE  ALT=\"+t%5Bh%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = We don't know yet.<BR>\n" );
document.write( "Distance from Chicago to home would then be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5Bh%5D%2At%5Bh%5D+=+45t%5Bh%5D+ ALIGN=MIDDLE  ALT=\"+r%5Bh%5D%2At%5Bh%5D+=+45t%5Bh%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Let's nail down the trip to Chicago then.\r<BR>\n" );
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document.write( "<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;\" > = Rate to Chicago = 40 mph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bc%5D+ ALIGN=MIDDLE  ALT=\"+t%5Bc%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time it took to go to Chicago = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bh%5D+%2B+0.5+ ALIGN=MIDDLE  ALT=\"+t%5Bh%5D+%2B+0.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <----- We said 0.5 hours (instead of saying + 30) because the speed is in miles per hour. <BR>\n" );
document.write( "Distance from home to Chicago would have to be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+r%5Bc%5D%2At%5Bc%5D+=+40%28t%5Bh%5D%2B0.5%29 ALIGN=MIDDLE  ALT=\"+r%5Bc%5D%2At%5Bc%5D+=+40%28t%5Bh%5D%2B0.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Since the rates and times HAVE TO equal the same distance, we can set them equal to each other.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40%28t%5Bh%5D+%2B+0.5%29+=+45t%5Bh%5D+ ALIGN=MIDDLE  ALT=\"+40%28t%5Bh%5D+%2B+0.5%29+=+45t%5Bh%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40t%5Bh%5D+%2B+20+=+45t%5Bh%5D+ ALIGN=MIDDLE  ALT=\"+40t%5Bh%5D+%2B+20+=+45t%5Bh%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <---- used distributive property\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+20+=+5t%5Bh%5D+ ALIGN=MIDDLE  ALT=\"+20+=+5t%5Bh%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <---- subtracted <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40t%5Bh%5D+ ALIGN=MIDDLE  ALT=\"+40t%5Bh%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t%5Bh%5D+=+4+ ALIGN=MIDDLE  ALT=\"+t%5Bh%5D+=+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <---- Took him four hours to get home from Chicago. If his trip to Chicago took 30 minutes longer, then his trip to Chicago took 4.5 hours. </SPAN>\n" );
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