document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186441>Question 186441</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ali plans a road trip from Chicago to Detroit in his Honda Accord with an overnight stay in Hammond, Indiana. On Wednesday, he drove from Chicago to Hamond at an average speed of 47 mph. On Thursday, he continued to drive from Hamond to Detroit at an average speed of 69 mph. His driving time on Thursday is 2 hours longer that his driving time on Wednesday. If the total distance from Chicago to Detroit is 326 miles, then what is the total number of hours he drove on both days? How far is Detroit from Hamond, IN?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139965 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=139965\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Distance(d) equals Rate(r) times Time(t) or d=rt;  r=d/t and t=d/r<BR>\n" );
document.write( "Let t=driving time on Wed<BR>\n" );
document.write( "Then t+2=driving time on Thu<BR>\n" );
document.write( "Total number of hours that he drove on both days=t+t+2=2t+2<BR>\n" );
document.write( "Let d=distance that he drove on Wed<BR>\n" );
document.write( "then 326-d=distance he drove on Thu and this also equals the distance from Detroit to Hamond, IN.\r<BR>\n" );
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document.write( "On Wed:<BR>\n" );
document.write( "t=d/47---------------------------eq1<BR>\n" );
document.write( "On Thu:<BR>\n" );
document.write( "(t+2)=(326-d)/69---------------------eq2<BR>\n" );
document.write( "Substitute t=d/47 from eq1 into eq2 and we get:<BR>\n" );
document.write( "(d/47) + 2=(326-d)/69 multiply each side by 69*47<BR>\n" );
document.write( "69d+6486=47*(326-d)=<BR>\n" );
document.write( "69d+6486=15322-47d  add 47d to and subtract 6486 from each side<BR>\n" );
document.write( "69d+47d=15322-6486-47d+47d  collect like terms<BR>\n" );
document.write( "116d=8836<BR>\n" );
document.write( "divide each side by 116<BR>\n" );
document.write( "d=76.2 mi-------------------distance drove on Wed<BR>\n" );
document.write( "326-d=326-76.2=249.8 mi dist on Thu-----distance from Detroit to Hamond<BR>\n" );
document.write( "Substitute d=76.2 into eq1:<BR>\n" );
document.write( "t=76.2/47=1.62 hr------driving time on Wed<BR>\n" );
document.write( "t+2=1.62+2=3.62 hr------driving time on Thu<BR>\n" );
document.write( "Total driving time=1.62 +3.62= 5.24 hr\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "distance drove on Wed=47*1.62=~~~~76.2<BR>\n" );
document.write( "distance drove on Thu=69*3.62=~~~~249.8 mi<BR>\n" );
document.write( "76.2+249.8=326<BR>\n" );
document.write( "326=326\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps---ptaylor<BR>\n" );
document.write( " </SPAN>\n" );
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