document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=227740>Question 227740</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if a car averages 55 mph on a certain trip, it will arrive 2 hours early. If the car averages 35 mph it will arrive 2 hours late. How many miles is the trip? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #169210 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=169210\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If a car averages 55 mph on a certain trip, it will arrive 2 hours early. If the car averages 35 mph it will arrive 2 hours late. How many miles is the trip?\r<BR>\n" );
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document.write( "Step 1.  distance = speed * time\r<BR>\n" );
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document.write( "Step 2.  Let t be the time of the trip traveling on time.\r<BR>\n" );
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document.write( "Step 3.  Let t-2 be the time if traveling at 55 mph.\r<BR>\n" );
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document.write( "Step 4.  Let 55(t-2) be the distance traveling at 55 mph.\r<BR>\n" );
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document.write( "Step 5.  Let 35(t+2) be the distance traveling at 35 mph.\r<BR>\n" );
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document.write( "Step 6.  Then, 55(t-2)=35(t+2) since the distances are equal in Steps 4 and 5.\r<BR>\n" );
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document.write( "Step 7.  Solving the equation in Step 6 yields the following steps\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=55t-110=35t%2B70 ALIGN=MIDDLE  ALT=\"55t-110=35t%2B70\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add 110-35t to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=55t-110%2B110-35t=35t%2B70%2B110-35t ALIGN=MIDDLE  ALT=\"55t-110%2B110-35t=35t%2B70%2B110-35t\"   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=20t=180 ALIGN=MIDDLE  ALT=\"20t=180\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide by 20 to both sides of the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=9 ALIGN=MIDDLE  ALT=\"t=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Substitute the value of t in Steps 4 or 5.  We'll do both to check if distances are equal\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=55%289-2%29=385 ALIGN=MIDDLE  ALT=\"55%289-2%29=385\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35%289%2B2%29=385 ALIGN=MIDDLE  ALT=\"35%289%2B2%29=385\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles.\r<BR>\n" );
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document.write( "Step 8.  The distance is 385 miles.\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "And good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
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document.write( "http://www.FreedomUniversity.TV<BR>\n" );
document.write( " </SPAN>\n" );
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