document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=761147>Question 761147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Note: My teacher says that the distance between Santa Fe and Topeka is not a factor in this question.\r<BR>\n" );
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document.write( "At 8:00 AM a train leaves Topeka for Santa Fe and another train leaves<BR>\n" );
document.write( "Santa Fe for Topeka. The trains maintain constant speed with no stops.<BR>\n" );
document.write( "The first train requires four hours to complete the trip, and the second train<BR>\n" );
document.write( "requires seven hours. At what time do the trains pass each other? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #463058 by </B><A HREF=/tutors/aboutme.mpl?userid=Stitch><B>Stitch(470)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Stitch><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=463058\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is what I came up with.<BR>\n" );
document.write( "Distance = Rate x time.<BR>\n" );
document.write( "T = time in hours<BR>\n" );
document.write( "We will call the distance between the two trains X. (This will later be removed from the equation)<BR>\n" );
document.write( "The rate of each train will be written as X(The total distance) divided by the time it takes for the train to cover the total distance.<BR>\n" );
document.write( "Our equation wil be: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%2A%28X%2F4%29+%2B+T%2A%28X%2F7%29+=+X ALIGN=MIDDLE  ALT=\"T%2A%28X%2F4%29+%2B+T%2A%28X%2F7%29+=+X\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since every term contains an X we can divide both sides by X to remove it.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%2A%281%2F4%29+%2B+T%2A%281%2F7%29+=+1 ALIGN=MIDDLE  ALT=\"T%2A%281%2F4%29+%2B+T%2A%281%2F7%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I am going to rewrite the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28T%2F4%29+%2B+%28T%2F7%29+=+1 ALIGN=MIDDLE  ALT=\"%28T%2F4%29+%2B+%28T%2F7%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since the denominators are different multiply everything by 7 and by 4 to get them in the same units.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28T%2Fcross%284%29%29%2A7+%2Across%284%29+%2B+%28T%2Fcross%287%29%29%2Across%287%29%2A4+=+1%2A7%2A4 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7T+%2B+4T+=+28 ALIGN=MIDDLE  ALT=\"7T+%2B+4T+=+28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11T+=+28 ALIGN=MIDDLE  ALT=\"11T+=+28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by 11<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28T+=+2.545%29 ALIGN=MIDDLE  ALT=\"highlight%28T+=+2.545%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you have convert the 0.545 hours to minutes.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%280.545cross%28hours%29%2F1%29%2A%2860minutes+%2F+1cross%28hours%29%29+=+32.7 ALIGN=MIDDLE  ALT=\"%280.545cross%28hours%29%2F1%29%2A%2860minutes+%2F+1cross%28hours%29%29+=+32.7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Add the 2 hours and 32.7 minutes to the time of 8:00AM.<BR>\n" );
document.write( "The trains should pass around 10:33AM<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );