document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=578575>Question 578575</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Pls. help me with this word problem: The distance from NYC to a midwestern city is 1080 miles, and the time taken by the fastest train is 11 hours longer than the time taken by an airplane. If the train is used for the first third of the journey and the plane for the last two thirds, the time taken for the whole trip is 7 2/3 hours. Find the rate of each. <BR>\n" );
document.write( "Thank you for your help, I am just helping my son out with these problems and I am stumped.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #370704 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=370704\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> whole distance\r<BR>\n" );
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document.write( "let time taken by plane be x hours<BR>\n" );
document.write( "train takes x+11 hours\r<BR>\n" );
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document.write( "speed of plane = 1080/x\r<BR>\n" );
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document.write( "train takes 11 hours more<BR>\n" );
document.write( "so speed of train = 1080/(x+11)\r<BR>\n" );
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document.write( "distance traveled by train and plane \r<BR>\n" );
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document.write( "distance traveled by train = 1/3 * 1080 = 360 miles<BR>\n" );
document.write( "distance traveled by plane = 2/3 1080 = 720 miles\r<BR>\n" );
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document.write( "Time\r<BR>\n" );
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document.write( "Time taken by plane + time taken by train = 7 2/3 hours = 23/3 hours\r<BR>\n" );
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document.write( "t = d/r\r<BR>\n" );
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document.write( "360/(1080/(x+11)) + 720/(1080/x) = 23/3 \r<BR>\n" );
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document.write( "(360(x+11))/1080 + 720x/1080 = 23/3\r<BR>\n" );
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document.write( "(360x+3960 +720x)/1080= 23/3\r<BR>\n" );
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document.write( "1080x+3960 = 23*1080/3\r<BR>\n" );
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document.write( "1080x+3960 = 23*360\r<BR>\n" );
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document.write( "1080x+3960 = 8280\r<BR>\n" );
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document.write( "1080x= 4320\r<BR>\n" );
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document.write( "x= 4 \r<BR>\n" );
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document.write( "time taken by plane to go 1080 miles = 4 <BR>\n" );
document.write( "distance = 1080 <BR>\n" );
document.write( "speed = 1080/4 = 270 mph--- plane\r<BR>\n" );
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document.write( "speed of train = 1080/(x+11)\r<BR>\n" );
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document.write( "= 1080/15<BR>\n" );
document.write( "=72 mph  speed of train\r<BR>\n" );
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document.write( "m.ananth@hotmail.ca\r<BR>\n" );
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document.write( "have I walked you through\r<BR>\n" );
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