document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=568435>Question 568435</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jessie and Harper left their school at the same time and began travelling down the same road in the same direction. Jessie was travelling at a speed of 65mph while Harper drove at 70 mph. How many hours was it before Harper was 5 miles ahead of Jessie?\r<BR>\n" );
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document.write( "This is what I tried (I have no clue how to even start):<BR>\n" );
document.write( "65x = 70(x+5/70)<BR>\n" );
document.write( "65x = 70 (x + 1/14)<BR>\n" );
document.write( "65x = 70x + 5<BR>\n" );
document.write( "-70x  -70x<BR>\n" );
document.write( "-5x = 5<BR>\n" );
document.write( "/-5  /-5<BR>\n" );
document.write( "x = -1 hours\r<BR>\n" );
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document.write( "I do have access to the answer booklet but it says that the answer is 1, not -1, but it doesn't show how to do it and our teacher expects us to show our work. \r<BR>\n" );
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document.write( "Thank you so so much!\r<BR>\n" );
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document.write( "Brianna, age 14 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #366952 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=366952\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can use intuition and think that if Jessie is traveling 65 mph, then in one hour, s/he will have gone 65 miles. In that same time, Harper drove at 70 mph, which means that s/he will have gone 70 miles. The difference of these distances is 70 - 65 = 5 miles.\r<BR>\n" );
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document.write( "Or you can set up the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70x-65x=5 ALIGN=MIDDLE  ALT=\"70x-65x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >. To get this equation, we basically use the idea that\r<BR>\n" );
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document.write( "(Harpers Distance) - (Jessies Distance) = 5 miles\r<BR>\n" );
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document.write( "and that \r<BR>\n" );
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document.write( "Distance = (Rate) * (Time)\r<BR>\n" );
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document.write( "Now solve for x to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70x-65x=5 ALIGN=MIDDLE  ALT=\"70x-65x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x=5 ALIGN=MIDDLE  ALT=\"5x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5%2F5 ALIGN=MIDDLE  ALT=\"x=5%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and get the same answer.\r<BR>\n" );
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document.write( "<font color=red>-------------------------------------------------------------------------------------------------</font>\r<BR>\n" );
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document.write( "<b><font size=3>If you need more help, email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com\">jim_thompson5910@hotmail.com</a>\r<BR>\n" );
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document.write( "Jim</font></b>\r<BR>\n" );
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document.write( "<font color=red>-------------------------------------------------------------------------------------------------</font> </SPAN>\n" );
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