document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65597>Question 65597</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/093979862x/algebrahomeworkh>An Incremental Development</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Ortiz drives twice as fast as his brother and therefore makes the 350-mile trip home in 5 hours less time. How fast does each drive, and for how long does each travel? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46249 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=46249\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let  r= Oritz brothers rate of speed<BR>\n" );
document.write( "Then 2r=Ortiz rate of speed\r<BR>\n" );
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document.write( "We'll let t=Oritz brothers time for the trip <BR>\n" );
document.write( "Then t-5=Ortiz time for the trip\r<BR>\n" );
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document.write( "Now we know that distance (d)=rate(r) times time (t)\r<BR>\n" );
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document.write( "We also know that d=350 mi\r<BR>\n" );
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document.write( "(r)(t) =distance Ortiz brother travels =350 mi<BR>\n" );
document.write( "2r(t-5)=distance Ortiz travels =350 mi\r<BR>\n" );
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document.write( "So our equations to solve are:<BR>\n" );
document.write( " rt=350<BR>\n" );
document.write( "2r(t-5)=350<BR>\n" );
document.write( " Since both equations equal 350 mi we have:<BR>\n" );
document.write( "rt=2r(t-5)<BR>\n" );
document.write( "rt=2rt-10r simplifying we have:<BR>\n" );
document.write( "2rt-rt=10r<BR>\n" );
document.write( "rt=10r<BR>\n" );
document.write( "t=10 hours Ortiz brothers travel time<BR>\n" );
document.write( "t-5=10-5=5 hours Ortiz travel time\r<BR>\n" );
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document.write( "Now rt=350<BR>\n" );
document.write( "r(10)=350<BR>\n" );
document.write( "r=35 MPH  Oritz brothers rate of speed\r<BR>\n" );
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document.write( "2r=2(35)=70 MPH Ortiz rate of speed\r<BR>\n" );
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document.write( "Ck\r<BR>\n" );
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document.write( "By inspection we see that Ortiz travelled twice as fast and made the trip in five hours less time than his brother\r<BR>\n" );
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document.write( "Hope this helps -----ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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