document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128578>Question 1128578</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! I have a problem that my professor wants me to solve by completing the square. The problem says: \r<BR>\n" );
document.write( "\n" );
document.write( "A train travels 300 miles at a uniform speed. If its speed had been 15 miles per hour less, the trip would have taken 1 hour and 40 minutes more. Find the actual speed of the train.\r<BR>\n" );
document.write( "\n" );
document.write( "I tried setting it up like this: (x/300)-([x-15]/300)=1.667 \r<BR>\n" );
document.write( "\n" );
document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #745066 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=745066\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(1) Don't use a decimal approximation for the number of hours.  Use 5/3 hours.<br><BR>\n" );
document.write( "(2) Time is distance divided by speed -- not speed divided by distance.<br><BR>\n" );
document.write( "(3) The greater time is at the lower speed; the the 5/3 hours difference is (time at lower speed) minus (time at higher speed).  You have the two expressions in the wrong order in your equation.<br><BR>\n" );
document.write( "So....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300%2F%28x-15%29+-+300%2Fx+=+5%2F3 ALIGN=MIDDLE  ALT=\"300%2F%28x-15%29+-+300%2Fx+=+5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Multiply everything by the common denominator, x(x-15); and multiply everything by 3/5 to get rid of the fraction on the right.<br><BR>\n" );
document.write( "That will give you the quadratic equation which you can solve by completing the square. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );