document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1025576>Question 1025576</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A train and a car are 180km apart. If they travel towards each other, they will meet in 50 minutes. If they travel in the same direction, the train will overtake the car in 1.8 hours. What is the speed of the train? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #640851 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=640851\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A train and a car are 180km apart. If they travel towards each other, they will meet in 50 minutes. If they travel in the same direction, the train will overtake the car in 1.8 hours. What is the speed of the train?\r<BR>\n" );
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document.write( "A train and a car are 180km apart.<BR>\n" );
document.write( "let speed of train be x<BR>\n" );
document.write( "and car be y\r<BR>\n" );
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document.write( "moving towards time = 50/60 = 5/6 hour\r<BR>\n" );
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document.write( "t=d/r<BR>\n" );
document.write( "5/6 = 180/(x+y)<BR>\n" );
document.write( "5x+5y= 1080 <BR>\n" );
document.write( "x+y= 216...........(1)\r<BR>\n" );
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document.write( "t If they travel in the same direction,<BR>\n" );
document.write( "the catch up time is 1.8 hours\r<BR>\n" );
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document.write( "catchup speed = (x-y) \r<BR>\n" );
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document.write( "180/(x-y) = 1.8 = 9/5 <BR>\n" );
document.write( "9x-9y= 900<BR>\n" );
document.write( "x-y = 100..................(2)\r<BR>\n" );
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document.write( "add (1) &(2)<BR>\n" );
document.write( "2x = 316<BR>\n" );
document.write( "x= 158 <BR>\n" );
document.write( "Train speed = 158 km/h\r<BR>\n" );
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document.write( "So car speed = 158-100=58 km/h\r<BR>\n" );
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document.write( " the train will overtake the car in 1.8 hours. What is the speed of the train? </SPAN>\n" );
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