document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162119>Question 1162119</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi\r<BR>\n" );
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document.write( "Particles X and Y are set to collide with each other at a certain time.they are 250m away from each other on a straight line path. X leaves point A for point B and Y leaves point B for point A. If A leaves earlier by 2.5 min the two particles will collide 3.5min after Y leaves point B. If Y leaves earlier by 2.5min they will collide 4min after X leaves point A .Find the average speeds of both particles.\r<BR>\n" );
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document.write( "Thanks\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 #785881 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</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=785881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "\"If X (not A) leaves earlier by 2.5 min the two particles will collide 3.5 min after Y leaves point B\"<br><BR>\n" );
document.write( "Translation: X traveling for 3.5+2.5 = 6 minutes, plus Y traveling for 3.5 minutes, covers the whole 250m.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B3.5y+=+250 ALIGN=MIDDLE  ALT=\"6x%2B3.5y+=+250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "\"If Y leaves earlier by 2.5 min they will collide 4 min after X leaves point A\"<br><BR>\n" );
document.write( "Translation: X traveling for 4 minutes, plus Y traveling for 4+2.5 = 6.5 minutes, covers the whole 250m.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B6.5y+=+250 ALIGN=MIDDLE  ALT=\"4x%2B6.5y+=+250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Solve the pair of equations using elimination.  Multiply the first equation by 2 and the second by 3 and subtract to eliminate x:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x%2B7y+=+500 ALIGN=MIDDLE  ALT=\"12x%2B7y+=+500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x%2B19.5y+=+750 ALIGN=MIDDLE  ALT=\"12x%2B19.5y+=+750\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12.5y+=+250 ALIGN=MIDDLE  ALT=\"12.5y+=+250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+250%2F12.5+=+20 ALIGN=MIDDLE  ALT=\"y+=+250%2F12.5+=+20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "y = 20; substitute in any of the earlier equations to find x=30.<br><BR>\n" );
document.write( "ANSWER: The speed of particle X is 30m/min; the speed of particle Y is 20m/min<br><BR>\n" );
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