document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=286464>Question 286464</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Juan left home on his bicycle at 10:00 a.m. traveling at 21 km/h. At noon, his brother set out after him on his motorcycle following the same route. If the motorcycle traveled at 63 km/h, what time did Juan's brother overtake him?\r<BR>\n" );
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document.write( "Thank you, sir </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #207770 by </B><A HREF=/tutors/aboutme.mpl?userid=texttutoring><B>texttutoring(324)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=texttutoring><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=texttutoring><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=207770\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let Vb=velocity of the bike=21km/h<BR>\n" );
document.write( "    Vm=velocity of the motorcycle = 63km/h\r<BR>\n" );
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document.write( "The distances they travel are equal, because it's the same route and they left from the same place. We know the equation D=VT, where D=distance, V=velocity and T=time. Because the distances for the motorcycle and bike are the same, we can just set them equal to each other:\r<BR>\n" );
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document.write( "D=D<BR>\n" );
document.write( "Vb*Tb = Vm*Tm\r<BR>\n" );
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document.write( "The time the motorcycle travels is 2 hours less than the time the bike travels, so Tm=Tb-2\r<BR>\n" );
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document.write( "Vb*Tb = Vm(Tm-2)<BR>\n" );
document.write( "21Tb = 63(Tb-2)<BR>\n" );
document.write( "126 = 42Tb<BR>\n" );
document.write( "Tb=3\r<BR>\n" );
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document.write( "The bike travels for 3 hours. The motorcycle travels for 2 hours less, so 1 hour. They meet at 1:00pm. </SPAN>\n" );
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