document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=474398>Question 474398</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Nasser rode his bicycle 66 miles in 4.5 hours. for the first 40 miles he averaged a certain rate, and then for the last 26 miles he reduced his rate by 3 miles per hour. find his rate for the last 26 miles. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #325367 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=325367\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Speed first part	x	mph													<BR>\n" );
document.write( "speed second part	3	mph	less												<BR>\n" );
document.write( "															<BR>\n" );
document.write( "First part	40	miles													<BR>\n" );
document.write( "Second part	26	miles													<BR>\n" );
document.write( "															<BR>\n" );
document.write( "speed in first part	x mph											<BR>\n" );
document.write( "speed second part	x -5	mph											<BR>\n" );
document.write( "Total rowing time	4.5	hours												<BR>\n" );
document.write( "Time first part	40/x											<BR>\n" );
document.write( "Time second part 26/(x-5)								<BR>\n" );
document.write( "															<BR>\n" );
document.write( "Time first part + time second part =4.5	hours											<BR>\n" );
document.write( "															<BR>\n" );
document.write( "40/x+26/(x-5)=4.5			<BR>\n" );
document.write( "LCD =x*	(x-5)							<BR>\n" );
document.write( "multiply the equation by the LCD															<BR>\n" );
document.write( "we get															<BR>\n" );
document.write( "40*(x-5	)+26x=4.5			<BR>\n" );
document.write( "40x-200	+26x=4.5X^2-22.5x<BR>\n" );
document.write( "66x-200	=4.5x^2+200								<BR>\n" );
document.write( "4.5X^2-88.5x+200=0							<BR>\n" );
document.write( "4.5x^2	-88.5x+	200=0									<BR>\n" );
document.write( "/4.5														<BR>\n" );
document.write( "x^2	-19.67	x	+44.44	=	0									<BR>\n" );
document.write( "															<BR>\n" );
document.write( "Find the roots of the equation by quadratic formula															<BR>\n" );
document.write( "															<BR>\n" );
document.write( "a=	1	b=	-19.67	c=	44.44										<BR>\n" );
document.write( "															<BR>\n" );
document.write( "b^2-4ac=	386.78	-	-177.78												<BR>\n" );
document.write( "b^2-4ac=	209<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%09209%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%09209%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=	14.46								<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >															<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >															<BR>\n" );
document.write( "x1=(	19.67	+	14.46	)/	2										<BR>\n" );
document.write( "x1=	17.06														<BR>\n" );
document.write( "x2=(	19.67	-14.46	) /	2											<BR>\n" );
document.write( "x2= 	2.6														<BR>\n" );
document.write( "Ignore x2 value	not posssible														<BR>\n" );
document.write( "x	=	17.06	mph\r<BR>\n" );
document.write( "\n" );
document.write( "17.06-6 = 12.06 mph speed second part												<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );