document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=127316>Question 127316</A>: <I><SPAN STYLE=\"word-break: break-all;\"> at 1pm your friend leaves for college traveling on the interstate at a constant speed of 65mph. at 1:24 you realize he has forgotten some necessary things for living away at college. you drive after your friend maintaining a speed of 70 mph. if neither of you alter your speed, how many miles you travel before you overtake him? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93288 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=93288\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At 1 pm your friend leaves for college traveling on the interstate at a constant speed of 65 mph. At 1:24 pm you realize he has forgotten some necessary things for living away at college. You drive after your friend maintaining a speed of 70mph. If neither of you alter your speed, how many miles will you travel before you overtake him?<BR>\n" );
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document.write( "Let d = distance traveled when you catch up with your friend<BR>\n" );
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document.write( "Change 24 min to hrs. 24/60 = .4 hrs<BR>\n" );
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document.write( "When this happens, they will have traveled the same distance (d):<BR>\n" );
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document.write( "Write a time equation: Time = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=distance%2Fspeed ALIGN=MIDDLE  ALT=\"distance%2Fspeed\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Friends time - .4 hrs = your time<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F65 ALIGN=MIDDLE  ALT=\"d%2F65\"   DISABLED_style= \"max-width:90%; height:auto;\" > - .4 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F70 ALIGN=MIDDLE  ALT=\"d%2F70\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply equation by 65*70 = 4550<BR>\n" );
document.write( "4550*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F65 ALIGN=MIDDLE  ALT=\"d%2F65\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 4550(.4) = 4550*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%2F70 ALIGN=MIDDLE  ALT=\"d%2F70\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cancel out the denominators and you have:<BR>\n" );
document.write( "70d - 1820 = 65d<BR>\n" );
document.write( "70d - 65d = 1820<BR>\n" );
document.write( "5d = 1820<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1820%2F5 ALIGN=MIDDLE  ALT=\"1820%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = 364 miles<BR>\n" );
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document.write( "That seems like a long way. Check solution by finding the travel times<BR>\n" );
document.write( "364/65 = 5.6 hr<BR>\n" );
document.write( "364/70 = 5.2 hr<BR>\n" );
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document.write( "differ = 0.4 hrs; confirms our solution<BR>\n" );
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document.write( "Did this make sense? Did I explain it well enough? </SPAN>\n" );
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