document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=918081>Question 918081</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the time taken by a person to cover 150km was 2.5 hours more than the time taken in the return of the journey. if he returned at a speed of 10km per hour, more than the speed of going , what was the speed per hour in each direction in km </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #556902 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=556902\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Forward 	speed	x															<BR>\n" );
document.write( "return 	speed	x	+	10													<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "	Distance = same		150	miles	1												<BR>\n" );
document.write( "	original time – time with increased speed =					2.5	hour										<BR>\n" );
document.write( "	t=d/t																<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "	150	/	x	-	150	/	(	x	+	10	)	=	2.50				<BR>\n" );
document.write( "	LCD=	x	(	x	+	10	)										<BR>\n" );
document.write( "	multiply by LCD																<BR>\n" );
document.write( "	150	(	x	+	10	)	-	150	x	=	2.5	x	(	x	+	10	)<BR>\n" );
document.write( "	150	x	+	1500	-	150	x	=	2.5	X^2	+	25	x				<BR>\n" );
document.write( "	1500	=	2.5	X^2	+	25	x										<BR>\n" );
document.write( "	2.5	X^2		+	25	x	-	-1500	=	0							<BR>\n" );
document.write( "	Find roots of the quadratic equation																<BR>\n" );
document.write( "	a=	2.5		b=	25		c=	-1500									<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "	x1=	(	-25	+	sqrt(		625	+	15000	))	/	5					<BR>\n" );
document.write( "	x1=(	-25	+	125	)/	5											<BR>\n" );
document.write( "	x1=	20															<BR>\n" );
document.write( "																	<BR>\n" );
document.write( "	x2=	(	-7	-	sqrt(		49	-	20	)	/	2					<BR>\n" );
document.write( "	x2=(	-25	-	125	)/	5											<BR>\n" );
document.write( "	x2=	-30															<BR>\n" );
document.write( "Ignore negative\r<BR>\n" );
document.write( "\n" );
document.write( "forward speed = 20 kmph<BR>\n" );
document.write( "return speed = 30 kmph </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );