document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161456>Question 1161456</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm studying for the SAT's and this question popped up.\r<BR>\n" );
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document.write( "Corrine drives d miles to her office at an average speed of 50 miles per hour.  Returning home, she travels by the same route and averages 60 miles per hour.  If her trip home is 10 minutes shorter than her trip to her office, what is the value of d?\r<BR>\n" );
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document.write( "The practice book shows the equations would then be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d=50%28t%2B1%2F6%29+ ALIGN=MIDDLE  ALT=\"+d=50%28t%2B1%2F6%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d=60%28t%29 ALIGN=MIDDLE  ALT=\"+d=60%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  It then shows it would substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d=50%28t%2B1%2F6%29 ALIGN=MIDDLE  ALT=\"+d=50%28t%2B1%2F6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+50%28t%2B1%2F6%29=60t ALIGN=MIDDLE  ALT=\"+50%28t%2B1%2F6%29=60t\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "I just don't understand where they got the 1/6 from in the word problem.  Could you please explain where the 1/6 came from so I can better understand how the equation was set up? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #785014 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=785014\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the t + 1/6 comes from the following.\r<BR>\n" );
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document.write( "you're dealing in miles per our.\r<BR>\n" );
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document.write( "10 minutes / 60 = 1/6 of an hour.\r<BR>\n" );
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document.write( "rate * time = distance.\r<BR>\n" );
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document.write( "when traveling at 60 miles per hour, the formula becomes 60 * T = D\r<BR>\n" );
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document.write( "when traveling at 50 mles per hour, the formula becomes 50 * (T + 10/60) = D\r<BR>\n" );
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document.write( "the reason is because you have to make sure your times are consistent.\r<BR>\n" );
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document.write( "since the rate of travel is in hours, then the time nees to be  in hours as well.\r<BR>\n" );
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document.write( "you have two equations that need to be solved simultaneously.\r<BR>\n" );
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document.write( "they are:\r<BR>\n" );
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document.write( "60 * T = D<BR>\n" );
document.write( "50 * (T + 1/6) = D\r<BR>\n" );
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document.write( "the 1/6 means 1/6 of an hour.\r<BR>\n" );
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document.write( "you should be able to solve the problem from this.<BR>\n" );
document.write( "if you, however, still have problems, let me know and i'll help you find the solution.\r<BR>\n" );
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document.write( "my own calculations tell me that the solution is D = 50 miles.\r<BR>\n" );
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document.write( "let me know if you agree once you worked it out.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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