document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1106726>Question 1106726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two busea A and B leave the same bus depot, A towards  the north and B towards the East.  After four hours the distance between the two buses is 100 km. Determine the speed of the bus A if it travels at a speed of 5 km/hr more than that of bus B. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #721706 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=721706\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use Pythagorean Theorem and rate * time = distance<BR>\n" );
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document.write( "(4x+20)^2 + (4x)^2 = 100^2<BR>\n" );
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document.write( "16x^2 +160x +400 +16x^2 = 10000<BR>\n" );
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document.write( "32x^2 +160x -9600 = 0<BR>\n" );
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document.write( "x^2 +5x -300 = 0<BR>\n" );
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document.write( "(x+20)*(x-15) = 0<BR>\n" );
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document.write( "we have two solutions for x, -20 and 15<BR>\n" );
document.write( "we reject the negative solution<BR>\n" );
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document.write( "x = 15<BR>\n" );
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document.write( "A = 15 +5 = 20 km/hr<BR>\n" );
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