document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=227726>Question 227726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When traveling to work each day, John drives part of it on the highway (where he goes 65 mph) and the rest on a ranch road (where he can only go 42 mph). The trip is 13.95 miles, and it takes only 15 minutes (which is 1/4 hour , or 0.25 hours). What part of an hour does he spend driving on each type of road? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #169196 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=169196\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When traveling to work each day, John drives part of it on the highway (where he goes 65 mph) and the rest on a ranch road (where he can only go 42 mph). The trip is 13.95 miles, and it takes only 15 minutes (which is 1/4 hour , or 0.25 hours). What part of an hour does he spend driving on each type of road?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 1.  Let t be the time (in hours) traveled on the highway.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 2.  Let 65t be the distance traveled on the highway.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 3.  Let 0.25-t be the time traveled (in hours) on the ranch road.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 4.  Let 42(.25-t) be the distance traveled on the ranch road.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 5.  Then 13.95=65t+42(0.25-t)=10.5+23t since the total distance is 13.95 miles.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 6.  Solving yields the following steps\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13.95=10.5%2B23t ALIGN=MIDDLE  ALT=\"13.95=10.5%2B23t\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Subtract 10.5 from both sides of the equation\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13.95-10.5=10.5%2B23t-10.5 ALIGN=MIDDLE  ALT=\"13.95-10.5=10.5%2B23t-10.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.45=23t ALIGN=MIDDLE  ALT=\"3.45=23t\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Divide by 23 to both sides of the equation\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.45%2F23=23t%2F23 ALIGN=MIDDLE  ALT=\"3.45%2F23=23t%2F23\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=0.15 ALIGN=MIDDLE  ALT=\"t=0.15\"   DISABLED_style= \"max-width:90%; height:auto;\" > hour and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.25-t=0.10 ALIGN=MIDDLE  ALT=\"0.25-t=0.10\"   DISABLED_style= \"max-width:90%; height:auto;\" > hour\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Check distance traveled 65*0.15+42*0.10=9.75+4.2=13.95 which is  a true statement.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 7.  ANSWER:  John spent 0.15 hour on the highway and 0.10 hour on the ranch road.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I hope the above steps were helpful.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
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" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "And good luck in your studies!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Respectfully,<BR>\n" );
document.write( "Dr J\r<BR>\n" );
document.write( "\n" );
document.write( "http://www.FreedomUniversity.TV </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );