document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=708476>Question 708476</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I need help with a uniform motion problem. I have tried different solutions and it is not the answer my book is offering.<BR>\n" );
document.write( "Problem:<BR>\n" );
document.write( "A speeding car traveling at 80 mph passes a police officer. Ten seconds later, the police officer gives chase at a speed of 100 mph. How long, in minutes, does it take the police officer to catch up with the car.<BR>\n" );
document.write( "Book Answer:<BR>\n" );
document.write( "2/3 of a minute<BR>\n" );
document.write( "My work:<BR>\n" );
document.write( "Well I use the four box method. So it looks something like this\r<BR>\n" );
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document.write( "First time    rate  * time    = distance<BR>\n" );
document.write( "Speeding car   80     x+10       80(x+10)<BR>\n" );
document.write( "Police Car    100      x         100x\r<BR>\n" );
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document.write( "80(x+10)=100x<BR>\n" );
document.write( "80x+800=100x<BR>\n" );
document.write( "800=20x<BR>\n" );
document.write( "40=x Incorrect to the book answer\r<BR>\n" );
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document.write( "Second time   rate * time = distance<BR>\n" );
document.write( "Speeding car   80     x        80x<BR>\n" );
document.write( "Police car    100    x-10   100(x-10)\r<BR>\n" );
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document.write( "80x=100(x-10)<BR>\n" );
document.write( "80x=100x-1000<BR>\n" );
document.write( "-20x=-1000<BR>\n" );
document.write( "x=50 Incorrect to the book answer<BR>\n" );
document.write( "Then calculate for the police car by subtracting 10 gives you 40\r<BR>\n" );
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document.write( "This left me thinking if it is to the book answer maybe I need to use .1 instead of 10 because it is 10 seconds not minutes.\r<BR>\n" );
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document.write( "Third time    rate * time = distance<BR>\n" );
document.write( "Speeding car   80    x+.1   80(x+.1)<BR>\n" );
document.write( "Police car    100     x      100x\r<BR>\n" );
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document.write( "80(x+.1)=100x<BR>\n" );
document.write( "80x+8=100x<BR>\n" );
document.write( "8=20x<BR>\n" );
document.write( "8/20=x Then reduce by 4<BR>\n" );
document.write( "2/5=x Again incorrect according to the book answer\r<BR>\n" );
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document.write( "So just to try it I flipped it again.\r<BR>\n" );
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document.write( "Fourth time    rate * time = distance<BR>\n" );
document.write( "Speeding car    80     x       80x<BR>\n" );
document.write( "Police car     100    x-.1   100(x-.1)\r<BR>\n" );
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document.write( "80x=100(x-.1)<BR>\n" );
document.write( "80x=100x-10<BR>\n" );
document.write( "-20x=-10<BR>\n" );
document.write( "x= 10/20<BR>\n" );
document.write( "x=1/2 Then substitute 1/2-.1 or 1/2-1/10 = 5/10-1/10=4/10 reduce<BR>\n" );
document.write( "x-.1=2/5 still an incorrect answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #436115 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=436115\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "You wrote:\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Speeding car 80 x+10 80(x+10)\r\n" );
document.write( "Police Car 100 x 100x \r\n" );
document.write( "80(x+10)=100x\r\n" );
document.write( "80x+800=100x\r\n" );
document.write( "800=20x\r\n" );
document.write( "40=x Incorrect to the book answer \r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Which is NOT incorrect to the book answer.  Since you wrote <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 80(x + 10)\">, and the time differential was given as 10 seconds, your unit of measure for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\"> has to be seconds as well.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{40s}{60s/m}\ =\ \frac{2}{3}\"> minute.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "</font> </SPAN>\n" );
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