document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=468776>Question 468776</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two cars started from a junction at sametime. One went straight west and other straight north. The car that went westward travelled 10 km faster per hour than the other. After 1 hour distance between two cars is 15 km. Calculate the distance covered by the car that went northward. Also find the distance covered by car that went southward. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #321635 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=321635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two cars started from a junction at sametime. One went straight west and other straight north. The car that went westward travelled 10 km faster per hour than the other. After 1 hour distance between two cars is 15 km. Calculate the distance covered by the car that went northward. Also find the distance covered by car that went southward.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "I will assume you meant the last word above to be westward instead of southward.<BR>\n" );
document.write( "After 1-hour:<BR>\n" );
document.write( "Distance = speed*travel time<BR>\n" );
document.write( "Let x=km traveled by car traveling north<BR>\n" );
document.write( "x+10=km traveled by car traveling west<BR>\n" );
document.write( "You now have a right triangle with legs of x and x+10 and a hypotenuse of 15 km<BR>\n" );
document.write( "By the Pythagorean Theorem:<BR>\n" );
document.write( "x^2+(x+10)^2=15^2=225<BR>\n" );
document.write( "x^2+x^2+20x+100=225<BR>\n" );
document.write( "2x^2+20x-125=0<BR>\n" );
document.write( "Solving by quadratic formula<BR>\n" );
document.write( "a=2, b=20, c=-125<BR>\n" );
document.write( "x=[-20ħsqrt(20^2-4*2*-125]/2*2<BR>\n" );
document.write( "x=[-20ħ&#8730;1400]/4<BR>\n" );
document.write( "x=(-20ħ37.41)/4<BR>\n" );
document.write( "x=-14.35 (reject, x>0)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x= 4.35<BR>\n" );
document.write( "x+10=14.35<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "distance covered by car that went north=4.35 km<BR>\n" );
document.write( "distance covered by car that went west=14.35 km </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );