document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=475858>Question 475858</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On a 135-mile bicycle ride, Sara averaged 5 miles per hour slower during the last 75 miles than for the first 60 miles.  The entire trip lasted 8 hours.  Find her rate for the first 60 miles. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #326360 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=326360\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> first part	60	miles													<BR>\n" );
document.write( "second part	75	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		8	hours												<BR>\n" );
document.write( "Time first part		60	/	x											<BR>\n" );
document.write( "Time second part		75	/	(	x	-5	)								<BR>\n" );
document.write( "															<BR>\n" );
document.write( "Time first part + time second part =	8	hours											<BR>\n" );
document.write( "															<BR>\n" );
document.write( "60/x +	75/(x-5)=	8			<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( "60*((x-5)+75	x=	8			<BR>\n" );
document.write( "60x-300	+75x=8x^2-40	x<BR>\n" );
document.write( "175x-300=8X^2										<BR>\n" );
document.write( "8	X^2	-175	x	300			=	0							<BR>\n" );
document.write( "8	X^2+	-175	x+	300	=										<BR>\n" );
document.write( "/	8														<BR>\n" );
document.write( "1	X^2	-21.88	x	37.5	=										<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=	-21.88	c=	37.5										<BR>\n" );
document.write( "															<BR>\n" );
document.write( "b^2-4ac=	478.52	-	-150												<BR>\n" );
document.write( "b^2-4ac=	328.52			<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%09328.52%09%29 ALIGN=MIDDLE  ALT=\"sqrt%28%09328.52%09%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=	18.13								<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=(	21.88	+	18.13	)/	2										<BR>\n" );
document.write( "x1=	20		20    					L=						90	20<BR>\n" );
document.write( "x2=(	21.88	-18.13	) /	2											<BR>\n" );
document.write( "x2= 	1.88		1 7/8												<BR>\n" );
document.write( "Ignore x2															<BR>\n" );
document.write( "x	=	20	mph																<BR>\n" );
document.write( "CHECK															<BR>\n" );
document.write( "Time first part	+	Time second part													<BR>\n" );
document.write( "3	+	5	=	8	\r<BR>\n" );
document.write( "\n" );
document.write( "m.ananth@hotmail.ca							<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );