document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=215507>Question 215507</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780763766313/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> My question is a precalculus question and it wants us to basically translate word problem into a function\r<BR>\n" );
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document.write( "Car A passes point O heading east at a constant rate of 40mi/h; car B passes the same point 1 hour later heading north at a constant rate of 60mi/h. Express the distance between the cars as a function of time t, where t is measured starting when car B passes point O.\r<BR>\n" );
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document.write( "I drew a diagram of this, and thought of using the Pythagorean Theorum to find the distance between car A and Car b, but I just don't know how to incoporate the \"1 hour later part.\" the answer in the book is 20 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162838 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=162838\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Car A passes point O heading east at a constant rate of 40mi/h; car B passes the same point 1 hour later heading north at a constant rate of 60mi/h. <BR>\n" );
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document.write( "Car A DATA:<BR>\n" );
document.write( "rate = 40 mph ; time = t+1  hrs ; distance = rt = 40(t+1) miles<BR>\n" );
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document.write( "Car B DATA:<BR>\n" );
document.write( "rate = 60 mph ; time = t hrs ; distance = 60t miles<BR>\n" );
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document.write( "Express the distance between the cars as a function of time t, where t is measured starting when car B passes point O.<BR>\n" );
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document.write( "Yes, use the Pythagorean Equation to get:<BR>\n" );
document.write( "(distance between A and B) = sqrt[(60t)^2 + (40(t+1))^2]<BR>\n" );
document.write( "d = 3600t^2 + 1600(t^2+2t+1)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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