document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=108212>Question 108212</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ella and jim are jogging.ella runs from point A to point B in one hour and 2 miles per hour faster than jim does.  if jim takes 1/2 hour more than ella to go the same distance,find the distance between points A and  B. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #78886 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=78886\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ella and jim are jogging. ella runs from point A to point B in one hour and 2 miles per hour faster than jim does. if jim takes 1/2 hour more than ella to go the same distance,find the distance between points A and B.<BR>\n" );
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document.write( "Let x = distance from A to B<BR>\n" );
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document.write( "Given:<BR>\n" );
document.write( "E's time = 1 hr<BR>\n" );
document.write( "J's time = 1.5 hrs<BR>\n" );
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document.write( "Write a speed equation: Speed = Distance/time:<BR>\n" );
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document.write( "E's speed = J's speed + 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F1 ALIGN=MIDDLE  ALT=\"x%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F1.5 ALIGN=MIDDLE  ALT=\"x%2F1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 2<BR>\n" );
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document.write( "Multiply equation by 3:<BR>\n" );
document.write( "3*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F1 ALIGN=MIDDLE  ALT=\"x%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F1.5 ALIGN=MIDDLE  ALT=\"x%2F1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 3(2)<BR>\n" );
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document.write( "Cancel out the denominators and you have:<BR>\n" );
document.write( "3x = 2x + 6<BR>\n" );
document.write( "3x - 2x = 6<BR>\n" );
document.write( "x = 6 mi from A to B<BR>\n" );
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document.write( "Check solution by finding the speed of each:<BR>\n" );
document.write( "6/1 = 6 mph<BR>\n" );
document.write( "6/1.5 = 4 mph, (2 mph slower) </SPAN>\n" );
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