document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=767533>Question 767533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sheila leaves on a long trip driving at a steady rate of 25 miles per hour. Her sister Allison leaves from the same location traveling to the same destination 2 hours later. She drives at a steady rate of 50 miles per hour. How long after Sheila leaves home will Allison catch up?<BR>\n" );
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document.write( "I have tried this problem for approximately 3 hours. I'm in 9th grade and I'll be honest with you and say, this is a graded assignment. Thank you in advance for any help you can provide.\r<BR>\n" );
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document.write( "-Faith\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #467669 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><B>algebrahouse.com(1659)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrahouse.com><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=algebrahouse.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=467669\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Distance = rate x time\r<BR>\n" );
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document.write( "Sheila's rate = 25 mph<BR>\n" );
document.write( "Sheila's time = t<BR>\n" );
document.write( "Sheila's distance = 25t {distance = rate x time}\r<BR>\n" );
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document.write( "Allison's rate = 50mph<BR>\n" );
document.write( "Allison's time = t - 2 {she started 2 hours later or lost two hours off of the starting time}<BR>\n" );
document.write( "Allison's distance = 50(t - 2) = 50t - 100 {distance = rate x time}\r<BR>\n" );
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document.write( "25t = 50(t - 2) {when Allison catches up with Sheila the distances are equal}<BR>\n" );
document.write( "25t = 50t - 100 {used distributive property}<BR>\n" );
document.write( "-25t = -100 {subtracted 50t from each side}<BR>\n" );
document.write( "t = 4 {divided each side by -25}<BR>\n" );
document.write( "{t corresponds with Sheila's time, which is what the question is asking for}\r<BR>\n" );
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document.write( "In 4 hours Allison will catch up with Sheila<BR>\n" );
document.write( "{Your mistake was probably on Allison's time. You probably had t + 2.}<BR>\n" );
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