document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=887106>Question 887106</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A freight train leaves the town of Harfville at 1:00PM travelling due to east at constant speed. Marcial, a Hobo, sneaks onto the train and fall asleep. AT the same time, Chokie leaves Harfville on her bicycle, travelling along a straight road in a  northeasterly direction (but not due northeast)at 10 miles per hour. At 1:12PM, Marcial rolls over in his sleep and falls from the train onto the side of the tracks. He wakes up and immediately begins walking at 3.5 miles per hour directly towards the road on which Chokie is riding. Marcial reaches the road at 2:12PM, just as Chokie is riding by. What is the speed of the train in miles per hour? Answer and solution please. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #536444 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=536444\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Both start at 1.00 pm\r<BR>\n" );
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document.write( "let train speed be x mph\r<BR>\n" );
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document.write( "Marcial travels by train for 12 minutes= 1/5 hours\r<BR>\n" );
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document.write( "distance traveled by Marcial = (1/5) * x = x/5 miles\r<BR>\n" );
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document.write( "Then Marcial walks for 1 hour perpendicular to the train.<BR>\n" );
document.write( "speed = 3.5 mph<BR>\n" );
document.write( "time = 1 hour\r<BR>\n" );
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document.write( "distance = 3.5 miles\r<BR>\n" );
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document.write( "Chokie rides 1 hour + 12 minutes to reach Marcial.<BR>\n" );
document.write( "=6/5 hours<BR>\n" );
document.write( "chokie's speed = 10 mph<BR>\n" );
document.write( "distance chokie meets Marcial = 6/5 * 10 = 12 miles\r<BR>\n" );
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document.write( "So apply Pythagoras theorem\r<BR>\n" );
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document.write( "12^2= (x/5)^2+ (3.5)^2\r<BR>\n" );
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document.write( "144-12.25 = x^2/25\r<BR>\n" );
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document.write( "131.75 =x^2/25\r<BR>\n" );
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document.write( "x^2= 3293.75<BR>\n" );
document.write( "x=57.4\r<BR>\n" );
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document.write( "Train speed = 57.4 mph\r<BR>\n" );
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document.write( " </SPAN>\n" );
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