document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5087>Question 5087</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Peter drove to work at 40 miles per hour and arrived one minute late. If he had driven at 45 miles per hour, he would have arrived one minute early. How far does Peter drive to work? Please explain and solve. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2580 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=2580\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Of course the basic formula for this is D= RT.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let t= time (in hours) required to arrive ON TIME\r<BR>\n" );
document.write( "\n" );
document.write( "Change 1 minute early or late to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F60 ALIGN=MIDDLE  ALT=\"1%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > hour early or late.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%2B+1%2F60 ALIGN=MIDDLE  ALT=\"t%2B+1%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time required to arrive a minute late at 40 mph.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+-+1%2F60 ALIGN=MIDDLE  ALT=\"t+-+1%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > = time required to arrive a minute early at 45 mph.\r<BR>\n" );
document.write( "\n" );
document.write( "Distance is the same either way he arrives, so RT = RT<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%28t+%2B+1%2F60%29+=+45+%28t-+1%2F60%29+ ALIGN=MIDDLE  ALT=\"40%28t+%2B+1%2F60%29+=+45+%28t-+1%2F60%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Use distributive property to remove the parentheses:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40t+%2B+40%2F60+=+45t+-+45%2F60+ ALIGN=MIDDLE  ALT=\"40t+%2B+40%2F60+=+45t+-+45%2F60+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Subtract 40t from each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40t+-+40t+%2B+40%2F60+=+45t-+40t++-+45%2F60+ ALIGN=MIDDLE  ALT=\"40t+-+40t+%2B+40%2F60+=+45t-+40t++-+45%2F60+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40%2F60+=+5t+-+45%2F60+ ALIGN=MIDDLE  ALT=\"+40%2F60+=+5t+-+45%2F60+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2F60 ALIGN=MIDDLE  ALT=\"45%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > to each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F60+%2B+45%2F60+=+5t+-+45%2F60+%2B45%2F60 ALIGN=MIDDLE  ALT=\"40%2F60+%2B+45%2F60+=+5t+-+45%2F60+%2B45%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=85%2F60+=+5t+ ALIGN=MIDDLE  ALT=\"85%2F60+=+5t+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Divide both sides by 5:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=17%2F60+=+t ALIGN=MIDDLE  ALT=\"17%2F60+=+t\"   DISABLED_style= \"max-width:90%; height:auto;\" >hours.   (This means 17 minutes to arrive ON TIME!)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Distance = Rate * Time<BR>\n" );
document.write( "(At 40)  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2A18%2F60 ALIGN=MIDDLE  ALT=\"40%2A18%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 12 miles, arriving 1 minute late.<BR>\n" );
document.write( "(At 45)  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%2A16%2F60 ALIGN=MIDDLE  ALT=\"45%2A16%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 12 miles, arriving 1 minute early.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Calculating distance both ways is a check!! \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "R^2 at SCC </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );