document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=757661>Question 757661</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A and B are two cars . they start to move with constant speed from the same spot at the same time . car A moves toward the east with speed 8 km/h . car B moves toward north with speed Vb . after 2 hours the distance between the two cars is 200 km . find Vb ?! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #461051 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=461051\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A and B are two cars . <BR>\n" );
document.write( "they start to move with constant speed from the same spot at the <BR>\n" );
document.write( "same time . <BR>\n" );
document.write( "car A moves toward the east with speed 8 km/h . <BR>\n" );
document.write( "car B moves toward north with speed Vb . <BR>\n" );
document.write( "after 2 hours the distance between the two cars is 200 km . <BR>\n" );
document.write( "find Vb ?!<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Dist = speed * time<BR>\n" );
document.write( "2(8) = 16 km traveled by Car A<BR>\n" );
document.write( "2Vb km traveled by car B<BR>\n" );
document.write( ":<BR>\n" );
document.write( "The is a pythag type problem; a^2 + b^2 = c^2, where:<BR>\n" );
document.write( "a = 16<BR>\n" );
document.write( "b = 2Vb<BR>\n" );
document.write( "c = 200<BR>\n" );
document.write( "therefore:<BR>\n" );
document.write( "16^2 + (2Vb)^2 = 200^2<BR>\n" );
document.write( "256 + 4Vb^2 = 40000<BR>\n" );
document.write( "4Vb^2 = 40000 - 256<BR>\n" );
document.write( "4Vb^2 = 39744<BR>\n" );
document.write( "Vb^2 = 39744/4<BR>\n" );
document.write( "Vb^2 = 9936<BR>\n" );
document.write( "Vb = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%289936%29 ALIGN=MIDDLE  ALT=\"sqrt%289936%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Vb = 99.68 km/hr<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "I'll let you check this: Car B travels 2*99.68 = 199.36 km<BR>\n" );
document.write( "Use your calc enter: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2816%5E2+%2B+199.36%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2816%5E2+%2B+199.36%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );